// This file is part of OpenCV project.
// It is subject to the license terms in the LICENSE file found in the top-level directory
// of this distribution and at http://opencv.org/license.html.

constexpr int stored_gamma_number = 2999;
constexpr int stored_incomplete_gamma_number = 3999;
constexpr double scale_of_stored_gammas_n4 = 1647.8;
constexpr double scale_of_stored_incomplete_gammas_n4 = 603.64;

constexpr double stored_complete_gamma_values_n4[] = {0.88623,0.88618,0.8861,0.88599,0.88587,0.88573,0.88557,0.8854,0.88522,0.88502,0.88482,0.8846,0.88438,0.88415,0.8839,0.88365,0.8834,0.88313,0.88285,0.88257,0.88229,0.88199,0.88169,0.88138,0.88107,0.88075,0.88042,0.88009,0.87975,0.87941,0.87906,0.8787,0.87834,0.87798,0.87761,0.87724,0.87686,0.87647,0.87609,0.87569,0.8753,0.8749,0.87449,0.87408,0.87367,0.87325,0.87283,0.8724,0.87197,0.87154,0.8711,0.87066,0.87022,0.86977,0.86932,0.86886,0.8684,0.86794,0.86748,0.86701,0.86654,0.86606,0.86559,0.86511,0.86462,0.86414,0.86365,0.86315,0.86266,0.86216,0.86166,0.86116,0.86065,0.86014,0.85963,0.85911,0.8586,0.85808,0.85755,0.85703,0.8565,0.85597,0.85544,0.85491,0.85437,0.85383,0.85329,0.85275,0.8522,0.85165,0.8511,0.85055,0.85,0.84944,0.84888,0.84832,0.84776,0.8472,0.84663,0.84606,
0.84549,0.84492,0.84434,0.84377,0.84319,0.84261,0.84203,0.84145,0.84086,0.84027,0.83969,0.83909,0.8385,0.83791,0.83731,0.83672,0.83612,0.83552,0.83492,0.83431,0.83371,0.8331,0.8325,0.83189,0.83128,0.83066,0.83005,0.82943,0.82882,0.8282,0.82758,0.82696,0.82634,0.82572,0.82509,0.82447,0.82384,0.82321,0.82258,0.82195,0.82132,0.82068,0.82005,0.81941,0.81878,0.81814,0.8175,0.81686,0.81622,0.81558,0.81493,0.81429,0.81364,0.813,0.81235,0.8117,0.81105,0.8104,0.80975,0.80909,0.80844,0.80779,0.80713,0.80647,0.80582,0.80516,0.8045,0.80384,0.80318,0.80251,0.80185,0.80119,0.80052,0.79986,0.79919,0.79852,0.79786,0.79719,0.79652,0.79585,0.79518,0.7945,0.79383,0.79316,0.79248,0.79181,0.79113,0.79046,0.78978,0.7891,0.78843,0.78775,0.78707,0.78639,0.78571,0.78503,0.78434,0.78366,0.78298,0.78229,
0.78161,0.78093,0.78024,0.77955,0.77887,0.77818,0.77749,0.7768,0.77612,0.77543,0.77474,0.77405,0.77336,0.77266,0.77197,0.77128,0.77059,0.76989,0.7692,0.76851,0.76781,0.76712,0.76642,0.76573,0.76503,0.76433,0.76364,0.76294,0.76224,0.76154,0.76085,0.76015,0.75945,0.75875,0.75805,0.75735,0.75665,0.75595,0.75525,0.75454,0.75384,0.75314,0.75244,0.75174,0.75103,0.75033,0.74963,0.74892,0.74822,0.74751,0.74681,0.74611,0.7454,0.7447,0.74399,0.74328,0.74258,0.74187,0.74117,0.74046,0.73975,0.73905,0.73834,0.73763,0.73692,0.73622,0.73551,0.7348,0.73409,0.73339,0.73268,0.73197,0.73126,0.73055,0.72984,0.72913,0.72842,0.72772,0.72701,0.7263,0.72559,0.72488,0.72417,0.72346,0.72275,0.72204,0.72133,0.72062,0.71991,0.7192,0.71849,0.71778,0.71707,0.71636,0.71565,0.71494,0.71423,0.71352,0.71281,0.71209,
0.71138,0.71067,0.70996,0.70925,0.70854,0.70783,0.70712,0.70641,0.7057,0.70499,0.70428,0.70357,0.70286,0.70215,0.70144,0.70073,0.70002,0.69931,0.6986,0.69789,0.69718,0.69647,0.69576,0.69505,0.69434,0.69363,0.69292,0.69221,0.6915,0.69079,0.69008,0.68937,0.68867,0.68796,0.68725,0.68654,0.68583,0.68512,0.68441,0.68371,0.683,0.68229,0.68158,0.68088,0.68017,0.67946,0.67875,0.67805,0.67734,0.67663,0.67593,0.67522,0.67451,0.67381,0.6731,0.6724,0.67169,0.67099,0.67028,0.66958,0.66887,0.66817,0.66746,0.66676,0.66605,0.66535,0.66465,0.66394,0.66324,0.66254,0.66183,0.66113,0.66043,0.65973,0.65903,0.65832,0.65762,0.65692,0.65622,0.65552,0.65482,0.65412,0.65342,0.65272,0.65202,0.65132,0.65062,0.64992,0.64922,0.64853,0.64783,0.64713,0.64643,0.64574,0.64504,0.64434,0.64365,0.64295,0.64225,0.64156,
0.64086,0.64017,0.63947,0.63878,0.63808,0.63739,0.6367,0.636,0.63531,0.63462,0.63393,0.63323,0.63254,0.63185,0.63116,0.63047,0.62978,0.62909,0.6284,0.62771,0.62702,0.62633,0.62564,0.62495,0.62427,0.62358,0.62289,0.6222,0.62152,0.62083,0.62014,0.61946,0.61877,0.61809,0.6174,0.61672,0.61604,0.61535,0.61467,0.61399,0.6133,0.61262,0.61194,0.61126,0.61058,0.6099,0.60922,0.60854,0.60786,0.60718,0.6065,0.60582,0.60514,0.60446,0.60379,0.60311,0.60243,0.60176,0.60108,0.60041,0.59973,0.59906,0.59838,0.59771,0.59703,0.59636,0.59569,0.59501,0.59434,0.59367,0.593,0.59233,0.59166,0.59099,0.59032,0.58965,0.58898,0.58831,0.58764,0.58698,0.58631,0.58564,0.58498,0.58431,0.58365,0.58298,0.58232,0.58165,0.58099,0.58032,0.57966,0.579,0.57834,0.57767,0.57701,0.57635,0.57569,0.57503,0.57437,0.57371,
0.57305,0.5724,0.57174,0.57108,0.57042,0.56977,0.56911,0.56845,0.5678,0.56714,0.56649,0.56584,0.56518,0.56453,0.56388,0.56322,0.56257,0.56192,0.56127,0.56062,0.55997,0.55932,0.55867,0.55802,0.55738,0.55673,0.55608,0.55543,0.55479,0.55414,0.5535,0.55285,0.55221,0.55156,0.55092,0.55028,0.54963,0.54899,0.54835,0.54771,0.54707,0.54643,0.54579,0.54515,0.54451,0.54387,0.54323,0.5426,0.54196,0.54132,0.54069,0.54005,0.53942,0.53878,0.53815,0.53751,0.53688,0.53625,0.53562,0.53498,0.53435,0.53372,0.53309,0.53246,0.53183,0.5312,0.53058,0.52995,0.52932,0.52869,0.52807,0.52744,0.52682,0.52619,0.52557,0.52494,0.52432,0.5237,0.52307,0.52245,0.52183,0.52121,0.52059,0.51997,0.51935,0.51873,0.51811,0.51749,0.51688,0.51626,0.51564,0.51503,0.51441,0.5138,0.51318,0.51257,0.51195,0.51134,0.51073,0.51012,
0.5095,0.50889,0.50828,0.50767,0.50706,0.50645,0.50585,0.50524,0.50463,0.50402,0.50342,0.50281,0.50221,0.5016,0.501,0.50039,0.49979,0.49919,0.49858,0.49798,0.49738,0.49678,0.49618,0.49558,0.49498,0.49438,0.49378,0.49318,0.49259,0.49199,0.49139,0.4908,0.4902,0.48961,0.48901,0.48842,0.48783,0.48724,0.48664,0.48605,0.48546,0.48487,0.48428,0.48369,0.4831,0.48251,0.48192,0.48134,0.48075,0.48016,0.47958,0.47899,0.47841,0.47782,0.47724,0.47666,0.47607,0.47549,0.47491,0.47433,0.47375,0.47317,0.47259,0.47201,0.47143,0.47085,0.47027,0.4697,0.46912,0.46854,0.46797,0.46739,0.46682,0.46625,0.46567,0.4651,0.46453,0.46396,0.46338,0.46281,0.46224,0.46167,0.4611,0.46054,0.45997,0.4594,0.45883,0.45827,0.4577,0.45713,0.45657,0.45601,0.45544,0.45488,0.45432,0.45375,0.45319,0.45263,0.45207,0.45151,
0.45095,0.45039,0.44983,0.44927,0.44872,0.44816,0.4476,0.44705,0.44649,0.44594,0.44538,0.44483,0.44427,0.44372,0.44317,0.44262,0.44207,0.44151,0.44096,0.44041,0.43987,0.43932,0.43877,0.43822,0.43767,0.43713,0.43658,0.43604,0.43549,0.43495,0.4344,0.43386,0.43332,0.43277,0.43223,0.43169,0.43115,0.43061,0.43007,0.42953,0.42899,0.42846,0.42792,0.42738,0.42684,0.42631,0.42577,0.42524,0.4247,0.42417,0.42364,0.4231,0.42257,0.42204,0.42151,0.42098,0.42045,0.41992,0.41939,0.41886,0.41833,0.4178,0.41728,0.41675,0.41623,0.4157,0.41517,0.41465,0.41413,0.4136,0.41308,0.41256,0.41204,0.41152,0.41099,0.41047,0.40996,0.40944,0.40892,0.4084,0.40788,0.40736,0.40685,0.40633,0.40582,0.4053,0.40479,0.40427,0.40376,0.40325,0.40274,0.40222,0.40171,0.4012,0.40069,0.40018,0.39967,0.39916,0.39866,0.39815,
0.39764,0.39714,0.39663,0.39612,0.39562,0.39511,0.39461,0.39411,0.3936,0.3931,0.3926,0.3921,0.3916,0.3911,0.3906,0.3901,0.3896,0.3891,0.3886,0.38811,0.38761,0.38711,0.38662,0.38612,0.38563,0.38514,0.38464,0.38415,0.38366,0.38316,0.38267,0.38218,0.38169,0.3812,0.38071,0.38022,0.37974,0.37925,0.37876,0.37827,0.37779,0.3773,0.37682,0.37633,0.37585,0.37536,0.37488,0.3744,0.37392,0.37343,0.37295,0.37247,0.37199,0.37151,0.37103,0.37056,0.37008,0.3696,0.36912,0.36865,0.36817,0.3677,0.36722,0.36675,0.36627,0.3658,0.36533,0.36485,0.36438,0.36391,0.36344,0.36297,0.3625,0.36203,0.36156,0.36109,0.36062,0.36016,0.35969,0.35922,0.35876,0.35829,0.35783,0.35736,0.3569,0.35644,0.35597,0.35551,0.35505,0.35459,0.35413,0.35367,0.35321,0.35275,0.35229,0.35183,0.35137,0.35092,0.35046,0.35,
0.34955,0.34909,0.34864,0.34818,0.34773,0.34728,0.34682,0.34637,0.34592,0.34547,0.34502,0.34457,0.34412,0.34367,0.34322,0.34277,0.34233,0.34188,0.34143,0.34099,0.34054,0.34009,0.33965,0.33921,0.33876,0.33832,0.33788,0.33743,0.33699,0.33655,0.33611,0.33567,0.33523,0.33479,0.33435,0.33391,0.33348,0.33304,0.3326,0.33216,0.33173,0.33129,0.33086,0.33042,0.32999,0.32956,0.32912,0.32869,0.32826,0.32783,0.3274,0.32697,0.32654,0.32611,0.32568,0.32525,0.32482,0.32439,0.32397,0.32354,0.32311,0.32269,0.32226,0.32184,0.32141,0.32099,0.32057,0.32014,0.31972,0.3193,0.31888,0.31846,0.31804,0.31762,0.3172,0.31678,0.31636,0.31594,0.31553,0.31511,0.31469,0.31428,0.31386,0.31345,0.31303,0.31262,0.3122,0.31179,0.31138,0.31097,0.31055,0.31014,0.30973,0.30932,0.30891,0.3085,0.30809,0.30768,0.30728,0.30687,
0.30646,0.30606,0.30565,0.30524,0.30484,0.30443,0.30403,0.30363,0.30322,0.30282,0.30242,0.30202,0.30161,0.30121,0.30081,0.30041,0.30001,0.29961,0.29922,0.29882,0.29842,0.29802,0.29763,0.29723,0.29683,0.29644,0.29604,0.29565,0.29526,0.29486,0.29447,0.29408,0.29368,0.29329,0.2929,0.29251,0.29212,0.29173,0.29134,0.29095,0.29056,0.29018,0.28979,0.2894,0.28901,0.28863,0.28824,0.28786,0.28747,0.28709,0.2867,0.28632,0.28594,0.28555,0.28517,0.28479,0.28441,0.28403,0.28365,0.28327,0.28289,0.28251,0.28213,0.28175,0.28138,0.281,0.28062,0.28025,0.27987,0.27949,0.27912,0.27875,0.27837,0.278,0.27762,0.27725,0.27688,0.27651,0.27614,0.27577,0.27539,0.27502,0.27466,0.27429,0.27392,0.27355,0.27318,0.27281,0.27245,0.27208,0.27171,0.27135,0.27098,0.27062,0.27025,0.26989,0.26953,0.26916,0.2688,0.26844,
0.26808,0.26772,0.26735,0.26699,0.26663,0.26627,0.26592,0.26556,0.2652,0.26484,0.26448,0.26413,0.26377,0.26341,0.26306,0.2627,0.26235,0.26199,0.26164,0.26129,0.26093,0.26058,0.26023,0.25988,0.25953,0.25917,0.25882,0.25847,0.25812,0.25777,0.25743,0.25708,0.25673,0.25638,0.25603,0.25569,0.25534,0.255,0.25465,0.2543,0.25396,0.25362,0.25327,0.25293,0.25259,0.25224,0.2519,0.25156,0.25122,0.25088,0.25054,0.2502,0.24986,0.24952,0.24918,0.24884,0.2485,0.24817,0.24783,0.24749,0.24715,0.24682,0.24648,0.24615,0.24581,0.24548,0.24515,0.24481,0.24448,0.24415,0.24381,0.24348,0.24315,0.24282,0.24249,0.24216,0.24183,0.2415,0.24117,0.24084,0.24051,0.24019,0.23986,0.23953,0.23921,0.23888,0.23855,0.23823,0.2379,0.23758,0.23726,0.23693,0.23661,0.23629,0.23596,0.23564,0.23532,0.235,0.23468,0.23436,
0.23404,0.23372,0.2334,0.23308,0.23276,0.23244,0.23212,0.23181,0.23149,0.23117,0.23086,0.23054,0.23022,0.22991,0.2296,0.22928,0.22897,0.22865,0.22834,0.22803,0.22772,0.2274,0.22709,0.22678,0.22647,0.22616,0.22585,0.22554,0.22523,0.22492,0.22461,0.22431,0.224,0.22369,0.22338,0.22308,0.22277,0.22247,0.22216,0.22186,0.22155,0.22125,0.22094,0.22064,0.22034,0.22003,0.21973,0.21943,0.21913,0.21883,0.21853,0.21823,0.21793,0.21763,0.21733,0.21703,0.21673,0.21643,0.21613,0.21584,0.21554,0.21524,0.21495,0.21465,0.21436,0.21406,0.21377,0.21347,0.21318,0.21288,0.21259,0.2123,0.212,0.21171,0.21142,0.21113,0.21084,0.21055,0.21026,0.20997,0.20968,0.20939,0.2091,0.20881,0.20852,0.20823,0.20795,0.20766,0.20737,0.20709,0.2068,0.20652,0.20623,0.20595,0.20566,0.20538,0.20509,0.20481,0.20453,0.20424,
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0.17748,0.17723,0.17698,0.17674,0.17649,0.17624,0.176,0.17575,0.1755,0.17526,0.17501,0.17477,0.17452,0.17428,0.17404,0.17379,0.17355,0.17331,0.17306,0.17282,0.17258,0.17234,0.1721,0.17186,0.17162,0.17137,0.17113,0.1709,0.17066,0.17042,0.17018,0.16994,0.1697,0.16946,0.16923,0.16899,0.16875,0.16852,0.16828,0.16804,0.16781,0.16757,0.16734,0.1671,0.16687,0.16663,0.1664,0.16617,0.16593,0.1657,0.16547,0.16524,0.165,0.16477,0.16454,0.16431,0.16408,0.16385,0.16362,0.16339,0.16316,0.16293,0.1627,0.16247,0.16224,0.16202,0.16179,0.16156,0.16133,0.16111,0.16088,0.16065,0.16043,0.1602,0.15998,0.15975,0.15953,0.1593,0.15908,0.15885,0.15863,0.15841,0.15818,0.15796,0.15774,0.15752,0.1573,0.15707,0.15685,0.15663,0.15641,0.15619,0.15597,0.15575,0.15553,0.15531,0.15509,0.15487,0.15466,0.15444,
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0.01968,0.01965,0.01962,0.01959,0.01956,0.01953,0.0195,0.01947,0.01944,0.01941,0.01938,0.01935,0.01933,0.0193,0.01927,0.01924,0.01921,0.01918,0.01915,0.01912,0.01909,0.01906,0.01904,0.01901,0.01898,0.01895,0.01892,0.01889,0.01886,0.01883,0.01881,0.01878,0.01875,0.01872,0.01869,0.01866,0.01864,0.01861,0.01858,0.01855,0.01852,0.0185,0.01847,0.01844,0.01841,0.01838,0.01836,0.01833,0.0183,0.01827,0.01825,0.01822,0.01819,0.01816,0.01814,0.01811,0.01808,0.01805,0.01803,0.018,0.01797,0.01794,0.01792,0.01789,0.01786,0.01784,0.01781,0.01778,0.01775,0.01773,0.0177,0.01767,0.01765,0.01762,0.01759,0.01757,0.01754,0.01751,0.01749,0.01746,0.01744,0.01741,0.01738,0.01736,0.01733,0.0173,0.01728,0.01725,0.01722,0.0172,0.01717,0.01715,0.01712,0.01709,0.01707,0.01704,0.01702,0.01699,0.01697,0.01694,
0.01691,0.01689,0.01686,0.01684,0.01681,0.01679,0.01676,0.01674,0.01671,0.01669,0.01666,0.01663,0.01661,0.01658,0.01656,0.01653,0.01651,0.01648,0.01646,0.01643,0.01641,0.01638,0.01636,0.01633,0.01631,0.01629,0.01626,0.01624,0.01621,0.01619,0.01616,0.01614,0.01611,0.01609,0.01606,0.01604,0.01602,0.01599,0.01597,0.01594,0.01592,0.01589,0.01587,0.01585,0.01582,0.0158,0.01577,0.01575,0.01573,0.0157,0.01568,0.01565,0.01563,0.01561,0.01558,0.01556,0.01554,0.01551,0.01549,0.01547,0.01544,0.01542,0.0154,0.01537,0.01535,0.01533,0.0153,0.01528,0.01526,0.01523,0.01521,0.01519,0.01516,0.01514,0.01512,0.01509,0.01507,0.01505,0.01503,0.015,0.01498,0.01496,0.01493,0.01491,0.01489,0.01487,0.01484,0.01482,0.0148,0.01478,0.01475,0.01473,0.01471,0.01469,0.01467,0.01464,0.01462,0.0146,0.01458,0.01455,
0.01453,0.01451,0.01449,0.01447,0.01444,0.01442,0.0144,0.01438,0.01436,0.01433,0.01431,0.01429,0.01427,0.01425,0.01423,0.0142,0.01418,0.01416,0.01414,0.01412,0.0141,0.01408,0.01405,0.01403,0.01401,0.01399,0.01397,0.01395,0.01393,0.01391,0.01388,0.01386,0.01384,0.01382,0.0138,0.01378,0.01376,0.01374,0.01372,0.0137,0.01367,0.01365,0.01363,0.01361,0.01359,0.01357,0.01355,0.01353,0.01351,0.01349,0.01347,0.01345,0.01343,0.01341,0.01339,0.01337,0.01335,0.01333,0.0133,0.01328,0.01326,0.01324,0.01322,0.0132,0.01318,0.01316,0.01314,0.01312,0.0131,0.01308,0.01306,0.01304,0.01302,0.013,0.01298,0.01296,0.01295,0.01293,0.01291,0.01289,0.01287,0.01285,0.01283,0.01281,0.01279,0.01277,0.01275,0.01273,0.01271,0.01269,0.01267,0.01265,0.01263,0.01261,0.01259,0.01258,0.01256,0.01254,0.01252,0.0125,
0.01248,0.01246,0.01244,0.01242,0.0124,0.01239,0.01237,0.01235,0.01233,0.01231,0.01229,0.01227,0.01225,0.01224,0.01222,0.0122,0.01218,0.01216,0.01214,0.01212,0.01211,0.01209,0.01207,0.01205,0.01203,0.01201,0.012,0.01198,0.01196,0.01194,0.01192,0.0119,0.01189,0.01187,0.01185,0.01183,0.01181,0.0118,0.01178,0.01176,0.01174,0.01172,0.01171,0.01169,0.01167,0.01165,0.01164,0.01162,0.0116,0.01158,0.01156,0.01155,0.01153,0.01151,0.01149,0.01148,0.01146,0.01144,0.01142,0.01141,0.01139,0.01137,0.01135,0.01134,0.01132,0.0113,0.01129,0.01127,0.01125,0.01123,0.01122,0.0112,0.01118,0.01117,0.01115,0.01113,0.01111,0.0111,0.01108,0.01106,0.01105,0.01103,0.01101,0.011,0.01098,0.01096,0.01095,0.01093,0.01091,0.0109,0.01088,0.01086,0.01085,0.01083,0.01081,0.0108,0.01078,0.01076,0.01075,0.01073,
0.01071,0.0107,0.01068,0.01067,0.01065,0.01063,0.01062,0.0106,0.01058,0.01057,0.01055,0.01054,0.01052,0.0105,0.01049,0.01047,0.01046,0.01044,0.01042,0.01041,0.01039,0.01038,0.01036,0.01034,0.01033,0.01031,0.0103,0.01028,0.01027,0.01025,0.01023,0.01022,0.0102,0.01019,0.01017,0.01016,0.01014,0.01013,0.01011,0.01009,0.01008,0.01006,0.01005,0.01003,0.01002,0.01,0.00999,0.00997,0.00996,0.00994,0.00993,0.00991,0.0099,0.00988,0.00987,0.00985,0.00984,0.00982,0.00981,0.00979,0.00978,0.00976,0.00975,0.00973,0.00972,0.0097,0.00969,0.00967,0.00966,0.00964,0.00963,0.00961,0.0096,0.00958,0.00957,0.00955,0.00954,0.00952,0.00951,0.0095,0.00948,0.00947,0.00945,0.00944,0.00942,0.00941,0.00939,0.00938,0.00937,0.00935,0.00934,0.00932,0.00931,0.00929,0.00928,0.00927,0.00925,0.00924,0.00922,0.00921,
0.0092,0.00918,0.00917,0.00915,0.00914,0.00913,0.00911,0.0091,0.00908,0.00907,0.00906,0.00904,0.00903,0.00901,0.009,0.00899,0.00897,0.00896,0.00895,0.00893,0.00892,0.0089,0.00889,0.00888,0.00886,0.00885,0.00884,0.00882,0.00881,0.0088,0.00878,0.00877,0.00876,0.00874,0.00873,0.00872,0.0087,0.00869,0.00868,0.00866,0.00865,0.00864,0.00862,0.00861,0.0086,0.00858,0.00857,0.00856,0.00854,0.00853,0.00852,0.0085,0.00849,0.00848,0.00847,0.00845,0.00844,0.00843,0.00841,0.0084,0.00839,0.00838,0.00836,0.00835,0.00834,0.00832,0.00831,0.0083,0.00829,0.00827,0.00826,0.00825,0.00824,0.00822,0.00821,0.0082,0.00819,0.00817,0.00816,0.00815,0.00813,0.00812,0.00811,0.0081,0.00809,0.00807,0.00806,0.00805,0.00804,0.00802,0.00801,0.008,0.00799,0.00797,0.00796,0.00795,0.00794,0.00793,0.00791,0.0079,
0.00789,0.00788,0.00787,0.00785,0.00784,0.00783,0.00782,0.00781,0.00779,0.00778,0.00777,0.00776,0.00775,0.00773,0.00772,0.00771,0.0077,0.00769,0.00767,0.00766,0.00765,0.00764,0.00763,0.00762,0.0076,0.00759,0.00758,0.00757,0.00756,0.00755,0.00753,0.00752,0.00751,0.0075,0.00749,0.00748,0.00747,0.00745,0.00744,0.00743,0.00742,0.00741,0.0074,0.00739,0.00737,0.00736,0.00735,0.00734,0.00733,0.00732,0.00731,0.0073,0.00728,0.00727,0.00726,0.00725,0.00724,0.00723,0.00722,0.00721,0.0072,0.00718,0.00717,0.00716,0.00715,0.00714,0.00713,0.00712,0.00711,0.0071,0.00709,0.00707,0.00706,0.00705,0.00704,0.00703,0.00702,0.00701,0.007,0.00699,0.00698,0.00697,0.00696,0.00695,0.00693,0.00692,0.00691,0.0069,0.00689,0.00688,0.00687,0.00686,0.00685,0.00684,0.00683,0.00682,0.00681,0.0068,0.00679,0.00678,
0.00677,0.00676,0.00675,0.00674,0.00673,0.00671,0.0067,0.00669,0.00668,0.00667,0.00666,0.00665,0.00664,0.00663,0.00662,0.00661,0.0066,0.00659,0.00658,0.00657,0.00656,0.00655,0.00654,0.00653,0.00652,0.00651,0.0065,0.00649,0.00648,0.00647,0.00646,0.00645,0.00644,0.00643,0.00642,0.00641,0.0064,0.00639,0.00638,0.00637,0.00636,0.00635,0.00634,0.00633,0.00632,0.00631,0.0063,0.00629,0.00629,0.00628,0.00627,0.00626,0.00625,0.00624,0.00623,0.00622,0.00621,0.0062,0.00619,0.00618,0.00617,0.00616,0.00615,0.00614,0.00613,0.00612,0.00611,0.0061,0.00609,0.00609,0.00608,0.00607,0.00606,0.00605,0.00604,0.00603,0.00602,0.00601,0.006,0.00599,0.00598,0.00597,0.00596,0.00596,0.00595,0.00594,0.00593,0.00592,0.00591,0.0059,0.00589,0.00588,0.00587,0.00586,0.00586,0.00585,0.00584,0.00583,0.00582,0.00581,
0.0058,0.00579,0.00578,0.00578,0.00577,0.00576,0.00575,0.00574,0.00573,0.00572,0.00571,0.0057,0.0057,0.00569,0.00568,0.00567,0.00566,0.00565,0.00564,0.00563,0.00563,0.00562,0.00561,0.0056,0.00559,0.00558,0.00557,0.00557,0.00556,0.00555,0.00554,0.00553,0.00552,0.00551,0.00551,0.0055,0.00549,0.00548,0.00547,0.00546,0.00546,0.00545,0.00544,0.00543,0.00542,0.00541,0.00541,0.0054,0.00539,0.00538,0.00537,0.00536,0.00536,0.00535,0.00534,0.00533,0.00532,0.00531,0.00531,0.0053,0.00529,0.00528,0.00527,0.00527,0.00526,0.00525,0.00524,0.00523,0.00522,0.00522,0.00521,0.0052,0.00519,0.00518,0.00518,0.00517,0.00516,0.00515,0.00515,0.00514,0.00513,0.00512,0.00511,0.00511,0.0051,0.00509,0.00508,0.00507,0.00507,0.00506,0.00505,0.00504,0.00504,0.00503,0.00502,0.00501,0.005,0.005,0.00499,0.00498,
0.00497,0.00497,0.00496,0.00495,0.00494,0.00494,0.00493,0.00492,0.00491,0.0049,0.0049,0.00489,0.00488,0.00487,0.00487,0.00486,0.00485,0.00484,0.00484,0.00483,0.00482,0.00481,0.00481,0.0048,0.00479,0.00479,0.00478,0.00477,0.00476,0.00476,0.00475,0.00474,0.00473,0.00473,0.00472,0.00471,0.0047,0.0047,0.00469,0.00468,0.00468,0.00467,0.00466,0.00465,0.00465,0.00464,0.00463,0.00463,0.00462,0.00461,0.0046,0.0046,0.00459,0.00458,0.00458,0.00457,0.00456,0.00455,0.00455,0.00454,0.00453,0.00453,0.00452,0.00451,0.00451,0.0045,0.00449,0.00448,0.00448,0.00447,0.00446,0.00446,0.00445,0.00444,0.00444,0.00443,0.00442,0.00442,0.00441,0.0044,0.0044,0.00439,0.00438,0.00438,0.00437,0.00436,0.00436,0.00435,0.00434,0.00434,0.00433,0.00432,0.00432,0.00431,0.0043,0.0043,0.00429,0.00428,0.00428,0.00427,
0.00426,0.00426,0.00425,0.00424,0.00424,0.00423,0.00422,0.00422,0.00421,0.0042,0.0042,0.00419,0.00418,0.00418,0.00417,0.00416,0.00416,0.00415,0.00415,0.00414,0.00413,0.00413,0.00412,0.00411,0.00411,0.0041,0.00409,0.00409,0.00408,0.00408,0.00407,0.00406,0.00406,0.00405,0.00404,0.00404,0.00403,0.00403,0.00402,0.00401,0.00401,0.004,0.00399,0.00399,0.00398,0.00398,0.00397,0.00396,0.00396,0.00395,0.00395,0.00394,0.00393,0.00393,0.00392,0.00391,0.00391,0.0039,0.0039,0.00389,0.00388,0.00388,0.00387,0.00387,0.00386,0.00385,0.00385,0.00384,0.00384,0.00383,0.00383,0.00382,0.00381,0.00381,0.0038,0.0038,0.00379,0.00378,0.00378,0.00377,0.00377,0.00376,0.00375,0.00375,0.00374,0.00374,0.00373,0.00373,0.00372,0.00371,0.00371,0.0037,0.0037,0.00369,0.00369,0.00368,0.00367,0.00367,0.00366,0.00366};

constexpr double stored_lower_incomplete_gamma_values_n4[] = {0.0,0.0,0.0,0.0,0.0,0.0,0.0,1e-05,1e-05,1e-05,1e-05,2e-05,2e-05,3e-05,3e-05,4e-05,4e-05,5e-05,6e-05,7e-05,8e-05,9e-05,0.0001,0.00011,0.00012,0.00014,0.00015,0.00016,0.00018,0.0002,0.00021,0.00023,0.00025,0.00027,0.00029,0.00031,0.00033,0.00036,0.00038,0.00041,0.00043,0.00046,0.00049,0.00051,0.00054,0.00058,0.00061,0.00064,0.00067,0.00071,0.00074,0.00078,0.00082,0.00086,0.0009,0.00094,0.00098,0.00102,0.00107,0.00111,0.00116,0.00121,0.00126,0.00131,0.00136,0.00141,0.00146,0.00152,0.00157,0.00163,0.00169,0.00175,0.00181,0.00187,0.00193,0.00199,0.00206,0.00212,0.00219,0.00226,0.00233,0.0024,0.00247,0.00254,0.00262,0.00269,0.00277,0.00285,0.00293,0.00301,0.00309,0.00317,0.00325,0.00334,0.00343,0.00351,0.0036,0.00369,0.00379,0.00388,
0.00397,0.00407,0.00416,0.00426,0.00436,0.00446,0.00456,0.00467,0.00477,0.00488,0.00498,0.00509,0.0052,0.00531,0.00542,0.00554,0.00565,0.00577,0.00588,0.006,0.00612,0.00624,0.00636,0.00649,0.00661,0.00674,0.00687,0.007,0.00713,0.00726,0.00739,0.00752,0.00766,0.0078,0.00793,0.00807,0.00821,0.00836,0.0085,0.00864,0.00879,0.00894,0.00909,0.00924,0.00939,0.00954,0.0097,0.00985,0.01001,0.01017,0.01032,0.01049,0.01065,0.01081,0.01098,0.01114,0.01131,0.01148,0.01165,0.01182,0.01199,0.01217,0.01234,0.01252,0.0127,0.01288,0.01306,0.01324,0.01342,0.01361,0.01379,0.01398,0.01417,0.01436,0.01455,0.01474,0.01494,0.01513,0.01533,0.01553,0.01573,0.01593,0.01613,0.01633,0.01654,0.01675,0.01695,0.01716,0.01737,0.01758,0.0178,0.01801,0.01823,0.01844,0.01866,0.01888,0.0191,0.01932,0.01955,0.01977,
0.02,0.02023,0.02046,0.02069,0.02092,0.02115,0.02138,0.02162,0.02186,0.02209,0.02233,0.02257,0.02282,0.02306,0.0233,0.02355,0.0238,0.02405,0.0243,0.02455,0.0248,0.02505,0.02531,0.02556,0.02582,0.02608,0.02634,0.0266,0.02687,0.02713,0.0274,0.02766,0.02793,0.0282,0.02847,0.02874,0.02902,0.02929,0.02957,0.02984,0.03012,0.0304,0.03068,0.03097,0.03125,0.03153,0.03182,0.03211,0.0324,0.03269,0.03298,0.03327,0.03356,0.03386,0.03415,0.03445,0.03475,0.03505,0.03535,0.03565,0.03596,0.03626,0.03657,0.03688,0.03719,0.0375,0.03781,0.03812,0.03843,0.03875,0.03906,0.03938,0.0397,0.04002,0.04034,0.04066,0.04099,0.04131,0.04164,0.04197,0.04229,0.04262,0.04296,0.04329,0.04362,0.04396,0.04429,0.04463,0.04497,0.04531,0.04565,0.04599,0.04633,0.04668,0.04702,0.04737,0.04772,0.04806,0.04841,0.04877,
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1.21352,1.21367,1.21381,1.21395,1.21409,1.21424,1.21438,1.21452,1.21466,1.2148,1.21494,1.21509,1.21523,1.21537,1.21551,1.21565,1.21579,1.21593,1.21607,1.21621,1.21635,1.21649,1.21663,1.21677,1.21691,1.21705,1.21719,1.21732,1.21746,1.2176,1.21774,1.21788,1.21802,1.21815,1.21829,1.21843,1.21857,1.2187,1.21884,1.21898,1.21911,1.21925,1.21939,1.21952,1.21966,1.21979,1.21993,1.22007,1.2202,1.22034,1.22047,1.22061,1.22074,1.22088,1.22101,1.22114,1.22128,1.22141,1.22155,1.22168,1.22181,1.22195,1.22208,1.22221,1.22235,1.22248,1.22261,1.22274,1.22288,1.22301,1.22314,1.22327,1.2234,1.22354,1.22367,1.2238,1.22393,1.22406,1.22419,1.22432,1.22445,1.22458,1.22471,1.22484,1.22497,1.2251,1.22523,1.22536,1.22549,1.22562,1.22575,1.22588,1.22601,1.22614,1.22626,1.22639,1.22652,1.22665,1.22678,1.2269,
1.22703,1.22716,1.22729,1.22741,1.22754,1.22767,1.22779,1.22792,1.22805,1.22817,1.2283,1.22842,1.22855,1.22868,1.2288,1.22893,1.22905,1.22918,1.2293,1.22943,1.22955,1.22968,1.2298,1.22992,1.23005,1.23017,1.2303,1.23042,1.23054,1.23067,1.23079,1.23091,1.23104,1.23116,1.23128,1.2314,1.23153,1.23165,1.23177,1.23189,1.23201,1.23213,1.23226,1.23238,1.2325,1.23262,1.23274,1.23286,1.23298,1.2331,1.23322,1.23334,1.23346,1.23358,1.2337,1.23382,1.23394,1.23406,1.23418,1.2343,1.23442,1.23454,1.23466,1.23477,1.23489,1.23501,1.23513,1.23525,1.23537,1.23548,1.2356,1.23572,1.23584,1.23595,1.23607,1.23619,1.2363,1.23642,1.23654,1.23665,1.23677,1.23688,1.237,1.23712,1.23723,1.23735,1.23746,1.23758,1.23769,1.23781,1.23792,1.23804,1.23815,1.23827,1.23838,1.2385,1.23861,1.23872,1.23884,1.23895,
1.23906,1.23918,1.23929,1.2394,1.23952,1.23963,1.23974,1.23985,1.23997,1.24008,1.24019,1.2403,1.24042,1.24053,1.24064,1.24075,1.24086,1.24097,1.24108,1.2412,1.24131,1.24142,1.24153,1.24164,1.24175,1.24186,1.24197,1.24208,1.24219,1.2423,1.24241,1.24252,1.24263,1.24274,1.24285,1.24295,1.24306,1.24317,1.24328,1.24339,1.2435,1.2436,1.24371,1.24382,1.24393,1.24404,1.24414,1.24425,1.24436,1.24447,1.24457,1.24468,1.24479,1.24489,1.245,1.24511,1.24521,1.24532,1.24542,1.24553,1.24564,1.24574,1.24585,1.24595,1.24606,1.24616,1.24627,1.24637,1.24648,1.24658,1.24669,1.24679,1.2469,1.247,1.2471,1.24721,1.24731,1.24742,1.24752,1.24762,1.24773,1.24783,1.24793,1.24803,1.24814,1.24824,1.24834,1.24845,1.24855,1.24865,1.24875,1.24885,1.24896,1.24906,1.24916,1.24926,1.24936,1.24946,1.24956,1.24966,
1.24977,1.24987,1.24997,1.25007,1.25017,1.25027,1.25037,1.25047,1.25057,1.25067,1.25077,1.25087,1.25097,1.25107,1.25117,1.25126,1.25136,1.25146,1.25156,1.25166,1.25176,1.25186,1.25195,1.25205,1.25215,1.25225,1.25235,1.25244,1.25254,1.25264,1.25274,1.25283,1.25293,1.25303,1.25312,1.25322,1.25332,1.25341,1.25351,1.25361,1.2537,1.2538,1.2539,1.25399,1.25409,1.25418,1.25428,1.25437,1.25447,1.25456,1.25466,1.25475,1.25485,1.25494,1.25504,1.25513,1.25523,1.25532,1.25542,1.25551,1.2556,1.2557,1.25579,1.25588,1.25598,1.25607,1.25616,1.25626,1.25635,1.25644,1.25654,1.25663,1.25672,1.25681,1.25691,1.257,1.25709,1.25718,1.25727,1.25737,1.25746,1.25755,1.25764,1.25773,1.25782,1.25791,1.25801,1.2581,1.25819,1.25828,1.25837,1.25846,1.25855,1.25864,1.25873,1.25882,1.25891,1.259,1.25909,1.25918,
1.25927,1.25936,1.25945,1.25954,1.25963,1.25971,1.2598,1.25989,1.25998,1.26007,1.26016,1.26025,1.26033,1.26042,1.26051,1.2606,1.26069,1.26077,1.26086,1.26095,1.26104,1.26112,1.26121,1.2613,1.26139,1.26147,1.26156,1.26165,1.26173,1.26182,1.2619,1.26199,1.26208,1.26216,1.26225,1.26233,1.26242,1.26251,1.26259,1.26268,1.26276,1.26285,1.26293,1.26302,1.2631,1.26319,1.26327,1.26336,1.26344,1.26353,1.26361,1.26369,1.26378,1.26386,1.26395,1.26403,1.26411,1.2642,1.26428,1.26436,1.26445,1.26453,1.26461,1.2647,1.26478,1.26486,1.26494,1.26503,1.26511,1.26519,1.26527,1.26536,1.26544,1.26552,1.2656,1.26568,1.26577,1.26585,1.26593,1.26601,1.26609,1.26617,1.26625,1.26633,1.26642,1.2665,1.26658,1.26666,1.26674,1.26682,1.2669,1.26698,1.26706,1.26714,1.26722,1.2673,1.26738,1.26746,1.26754,1.26762,
1.2677,1.26778,1.26785,1.26793,1.26801,1.26809,1.26817,1.26825,1.26833,1.26841,1.26848,1.26856,1.26864,1.26872,1.2688,1.26887,1.26895,1.26903,1.26911,1.26918,1.26926,1.26934,1.26942,1.26949,1.26957,1.26965,1.26972,1.2698,1.26988,1.26995,1.27003,1.27011,1.27018,1.27026,1.27034,1.27041,1.27049,1.27056,1.27064,1.27072,1.27079,1.27087,1.27094,1.27102,1.27109,1.27117,1.27124,1.27132,1.27139,1.27147,1.27154,1.27162,1.27169,1.27176,1.27184,1.27191,1.27199,1.27206,1.27214,1.27221,1.27228,1.27236,1.27243,1.2725,1.27258,1.27265,1.27272,1.2728,1.27287,1.27294,1.27301,1.27309,1.27316,1.27323,1.27331,1.27338,1.27345,1.27352,1.27359,1.27367,1.27374,1.27381,1.27388,1.27395,1.27403,1.2741,1.27417,1.27424,1.27431,1.27438,1.27445,1.27452,1.27459,1.27467,1.27474,1.27481,1.27488,1.27495,1.27502,1.27509,
1.27516,1.27523,1.2753,1.27537,1.27544,1.27551,1.27558,1.27565,1.27572,1.27579,1.27586,1.27593,1.27599,1.27606,1.27613,1.2762,1.27627,1.27634,1.27641,1.27648,1.27654,1.27661,1.27668,1.27675,1.27682,1.27689,1.27695,1.27702,1.27709,1.27716,1.27723,1.27729,1.27736,1.27743,1.27749,1.27756,1.27763,1.2777,1.27776,1.27783,1.2779,1.27796,1.27803,1.2781,1.27816,1.27823,1.2783,1.27836,1.27843,1.27849,1.27856,1.27863,1.27869,1.27876,1.27882,1.27889,1.27896,1.27902,1.27909,1.27915,1.27922,1.27928,1.27935,1.27941,1.27948,1.27954,1.27961,1.27967,1.27974,1.2798,1.27986,1.27993,1.27999,1.28006,1.28012,1.28018,1.28025,1.28031,1.28038,1.28044,1.2805,1.28057,1.28063,1.28069,1.28076,1.28082,1.28088,1.28095,1.28101,1.28107,1.28114,1.2812,1.28126,1.28132,1.28139,1.28145,1.28151,1.28157,1.28164,1.2817,
1.28176,1.28182,1.28188,1.28194,1.28201,1.28207,1.28213,1.28219,1.28225,1.28231,1.28238,1.28244,1.2825,1.28256,1.28262,1.28268,1.28274,1.2828,1.28286,1.28292,1.28298,1.28304,1.2831,1.28317,1.28323,1.28329,1.28335,1.28341,1.28347,1.28353,1.28359,1.28364,1.2837,1.28376,1.28382,1.28388,1.28394,1.284,1.28406,1.28412,1.28418,1.28424,1.2843,1.28436,1.28441,1.28447,1.28453,1.28459,1.28465,1.28471,1.28477,1.28482,1.28488,1.28494,1.285,1.28506,1.28511,1.28517,1.28523,1.28529,1.28534,1.2854,1.28546,1.28552,1.28557,1.28563,1.28569,1.28575,1.2858,1.28586,1.28592,1.28597,1.28603,1.28609,1.28614,1.2862,1.28626,1.28631,1.28637,1.28643,1.28648,1.28654,1.28659,1.28665,1.28671,1.28676,1.28682,1.28687,1.28693,1.28698,1.28704,1.28709,1.28715,1.28721,1.28726,1.28732,1.28737,1.28743,1.28748,1.28754,
1.28759,1.28764,1.2877,1.28775,1.28781,1.28786,1.28792,1.28797,1.28803,1.28808,1.28813,1.28819,1.28824,1.2883,1.28835,1.2884,1.28846,1.28851,1.28856,1.28862,1.28867,1.28872,1.28878,1.28883,1.28888,1.28894,1.28899,1.28904,1.2891,1.28915,1.2892,1.28925,1.28931,1.28936,1.28941,1.28946,1.28952,1.28957,1.28962,1.28967,1.28973,1.28978,1.28983,1.28988,1.28993,1.28999,1.29004,1.29009,1.29014,1.29019,1.29024,1.29029,1.29035,1.2904,1.29045,1.2905,1.29055,1.2906,1.29065,1.2907,1.29075,1.29081,1.29086,1.29091,1.29096,1.29101,1.29106,1.29111,1.29116,1.29121,1.29126,1.29131,1.29136,1.29141,1.29146,1.29151,1.29156,1.29161,1.29166,1.29171,1.29176,1.29181,1.29186,1.29191,1.29195,1.292,1.29205,1.2921,1.29215,1.2922,1.29225,1.2923,1.29235,1.2924,1.29244,1.29249,1.29254,1.29259,1.29264,1.29269,
1.29274,1.29278,1.29283,1.29288,1.29293,1.29298,1.29302,1.29307,1.29312,1.29317,1.29321,1.29326,1.29331,1.29336,1.29341,1.29345,1.2935,1.29355,1.29359,1.29364,1.29369,1.29374,1.29378,1.29383,1.29388,1.29392,1.29397,1.29402,1.29406,1.29411,1.29416,1.2942,1.29425,1.2943,1.29434,1.29439,1.29443,1.29448,1.29453,1.29457,1.29462,1.29466,1.29471,1.29476,1.2948,1.29485,1.29489,1.29494,1.29498,1.29503,1.29507,1.29512,1.29517,1.29521,1.29526,1.2953,1.29535,1.29539,1.29544,1.29548,1.29552,1.29557,1.29561,1.29566,1.2957,1.29575,1.29579,1.29584,1.29588,1.29593,1.29597,1.29601,1.29606,1.2961,1.29615,1.29619,1.29623,1.29628,1.29632,1.29637,1.29641,1.29645,1.2965,1.29654,1.29658,1.29663,1.29667,1.29671,1.29676,1.2968,1.29684,1.29689,1.29693,1.29697,1.29701,1.29706,1.2971,1.29714,1.29719,1.29723,
1.29727,1.29731,1.29736,1.2974,1.29744,1.29748,1.29752,1.29757,1.29761,1.29765,1.29769,1.29774,1.29778,1.29782,1.29786,1.2979,1.29794,1.29799,1.29803,1.29807,1.29811,1.29815,1.29819,1.29823,1.29828,1.29832,1.29836,1.2984,1.29844,1.29848,1.29852,1.29856,1.2986,1.29865,1.29869,1.29873,1.29877,1.29881,1.29885,1.29889,1.29893,1.29897,1.29901,1.29905,1.29909,1.29913,1.29917,1.29921,1.29925,1.29929,1.29933,1.29937,1.29941,1.29945,1.29949,1.29953,1.29957,1.29961,1.29965,1.29969,1.29973,1.29977,1.29981,1.29985,1.29988,1.29992,1.29996,1.3,1.30004,1.30008,1.30012,1.30016,1.3002,1.30024,1.30027,1.30031,1.30035,1.30039,1.30043,1.30047,1.30051,1.30054,1.30058,1.30062,1.30066,1.3007,1.30074,1.30077,1.30081,1.30085,1.30089,1.30093,1.30096,1.301,1.30104,1.30108,1.30111,1.30115,1.30119,1.30123};

constexpr double stored_gamma_values_n4[] = {0.88623,0.88622,0.8862,0.88618,0.88615,0.88612,0.88608,0.88604,0.886,0.88596,0.88591,0.88586,0.88581,0.88576,0.88571,0.88565,0.88559,0.88553,0.88547,0.88541,0.88534,0.88528,0.88521,0.88514,0.88507,0.88499,0.88492,0.88484,0.88477,0.88469,0.88461,0.88453,0.88444,0.88436,0.88428,0.88419,0.8841,0.88401,0.88392,0.88383,0.88374,0.88365,0.88356,0.88346,0.88336,0.88327,0.88317,0.88307,0.88297,0.88287,0.88277,0.88266,0.88256,0.88245,0.88235,0.88224,0.88213,0.88203,0.88192,0.88181,0.88169,0.88158,0.88147,0.88136,0.88124,0.88113,0.88101,0.88089,0.88077,0.88066,0.88054,0.88042,0.8803,0.88017,0.88005,0.87993,0.8798,0.87968,0.87955,0.87943,0.8793,0.87917,0.87904,0.87891,0.87878,0.87865,0.87852,0.87839,0.87826,0.87812,0.87799,0.87786,0.87772,0.87758,0.87745,0.87731,0.87717,0.87703,0.8769,0.87676,
0.87662,0.87647,0.87633,0.87619,0.87605,0.8759,0.87576,0.87562,0.87547,0.87532,0.87518,0.87503,0.87488,0.87474,0.87459,0.87444,0.87429,0.87414,0.87399,0.87384,0.87368,0.87353,0.87338,0.87322,0.87307,0.87292,0.87276,0.8726,0.87245,0.87229,0.87213,0.87198,0.87182,0.87166,0.8715,0.87134,0.87118,0.87102,0.87086,0.8707,0.87053,0.87037,0.87021,0.87004,0.86988,0.86972,0.86955,0.86938,0.86922,0.86905,0.86889,0.86872,0.86855,0.86838,0.86821,0.86804,0.86787,0.8677,0.86753,0.86736,0.86719,0.86702,0.86685,0.86667,0.8665,0.86633,0.86615,0.86598,0.8658,0.86563,0.86545,0.86528,0.8651,0.86492,0.86475,0.86457,0.86439,0.86421,0.86403,0.86386,0.86368,0.8635,0.86332,0.86313,0.86295,0.86277,0.86259,0.86241,0.86222,0.86204,0.86186,0.86167,0.86149,0.86131,0.86112,0.86094,0.86075,0.86056,0.86038,0.86019,
0.86,0.85982,0.85963,0.85944,0.85925,0.85906,0.85887,0.85868,0.85849,0.8583,0.85811,0.85792,0.85773,0.85754,0.85735,0.85716,0.85696,0.85677,0.85658,0.85638,0.85619,0.856,0.8558,0.85561,0.85541,0.85522,0.85502,0.85482,0.85463,0.85443,0.85423,0.85404,0.85384,0.85364,0.85344,0.85324,0.85304,0.85285,0.85265,0.85245,0.85225,0.85205,0.85185,0.85164,0.85144,0.85124,0.85104,0.85084,0.85064,0.85043,0.85023,0.85003,0.84982,0.84962,0.84941,0.84921,0.84901,0.8488,0.8486,0.84839,0.84818,0.84798,0.84777,0.84757,0.84736,0.84715,0.84694,0.84674,0.84653,0.84632,0.84611,0.8459,0.84569,0.84549,0.84528,0.84507,0.84486,0.84465,0.84444,0.84423,0.84401,0.8438,0.84359,0.84338,0.84317,0.84296,0.84274,0.84253,0.84232,0.8421,0.84189,0.84168,0.84146,0.84125,0.84104,0.84082,0.84061,0.84039,0.84018,0.83996,
0.83974,0.83953,0.83931,0.8391,0.83888,0.83866,0.83845,0.83823,0.83801,0.83779,0.83757,0.83736,0.83714,0.83692,0.8367,0.83648,0.83626,0.83604,0.83582,0.8356,0.83538,0.83516,0.83494,0.83472,0.8345,0.83428,0.83406,0.83384,0.83361,0.83339,0.83317,0.83295,0.83273,0.8325,0.83228,0.83206,0.83183,0.83161,0.83139,0.83116,0.83094,0.83071,0.83049,0.83026,0.83004,0.82981,0.82959,0.82936,0.82914,0.82891,0.82869,0.82846,0.82823,0.82801,0.82778,0.82755,0.82733,0.8271,0.82687,0.82664,0.82641,0.82619,0.82596,0.82573,0.8255,0.82527,0.82504,0.82481,0.82458,0.82436,0.82413,0.8239,0.82367,0.82344,0.82321,0.82298,0.82274,0.82251,0.82228,0.82205,0.82182,0.82159,0.82136,0.82113,0.82089,0.82066,0.82043,0.8202,0.81996,0.81973,0.8195,0.81926,0.81903,0.8188,0.81856,0.81833,0.8181,0.81786,0.81763,0.81739,
0.81716,0.81693,0.81669,0.81646,0.81622,0.81599,0.81575,0.81551,0.81528,0.81504,0.81481,0.81457,0.81433,0.8141,0.81386,0.81363,0.81339,0.81315,0.81291,0.81268,0.81244,0.8122,0.81196,0.81173,0.81149,0.81125,0.81101,0.81077,0.81054,0.8103,0.81006,0.80982,0.80958,0.80934,0.8091,0.80886,0.80862,0.80838,0.80814,0.8079,0.80766,0.80742,0.80718,0.80694,0.8067,0.80646,0.80622,0.80598,0.80574,0.8055,0.80526,0.80501,0.80477,0.80453,0.80429,0.80405,0.80381,0.80356,0.80332,0.80308,0.80284,0.80259,0.80235,0.80211,0.80187,0.80162,0.80138,0.80114,0.80089,0.80065,0.80041,0.80016,0.79992,0.79967,0.79943,0.79919,0.79894,0.7987,0.79845,0.79821,0.79796,0.79772,0.79747,0.79723,0.79698,0.79674,0.79649,0.79625,0.796,0.79576,0.79551,0.79526,0.79502,0.79477,0.79453,0.79428,0.79403,0.79379,0.79354,0.79329,
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0.45317,0.45297,0.45276,0.45256,0.45235,0.45215,0.45194,0.45174,0.45153,0.45133,0.45112,0.45092,0.45071,0.45051,0.4503,0.4501,0.44989,0.44969,0.44948,0.44928,0.44907,0.44887,0.44867,0.44846,0.44826,0.44805,0.44785,0.44765,0.44744,0.44724,0.44704,0.44683,0.44663,0.44642,0.44622,0.44602,0.44582,0.44561,0.44541,0.44521,0.445,0.4448,0.4446,0.44439,0.44419,0.44399,0.44379,0.44358,0.44338,0.44318,0.44298,0.44278,0.44257,0.44237,0.44217,0.44197,0.44177,0.44156,0.44136,0.44116,0.44096,0.44076,0.44056,0.44036,0.44015,0.43995,0.43975,0.43955,0.43935,0.43915,0.43895,0.43875,0.43855,0.43835,0.43815,0.43795,0.43775,0.43754,0.43734,0.43714,0.43694,0.43674,0.43654,0.43634,0.43614,0.43595,0.43575,0.43555,0.43535,0.43515,0.43495,0.43475,0.43455,0.43435,0.43415,0.43395,0.43375,0.43355,0.43336,0.43316,
0.43296,0.43276,0.43256,0.43236,0.43216,0.43197,0.43177,0.43157,0.43137,0.43117,0.43098,0.43078,0.43058,0.43038,0.43018,0.42999,0.42979,0.42959,0.42939,0.4292,0.429,0.4288,0.42861,0.42841,0.42821,0.42801,0.42782,0.42762,0.42742,0.42723,0.42703,0.42683,0.42664,0.42644,0.42625,0.42605,0.42585,0.42566,0.42546,0.42527,0.42507,0.42487,0.42468,0.42448,0.42429,0.42409,0.4239,0.4237,0.42351,0.42331,0.42311,0.42292,0.42272,0.42253,0.42234,0.42214,0.42195,0.42175,0.42156,0.42136,0.42117,0.42097,0.42078,0.42058,0.42039,0.4202,0.42,0.41981,0.41961,0.41942,0.41923,0.41903,0.41884,0.41865,0.41845,0.41826,0.41807,0.41787,0.41768,0.41749,0.41729,0.4171,0.41691,0.41672,0.41652,0.41633,0.41614,0.41595,0.41575,0.41556,0.41537,0.41518,0.41498,0.41479,0.4146,0.41441,0.41422,0.41402,0.41383,0.41364,
0.41345,0.41326,0.41307,0.41287,0.41268,0.41249,0.4123,0.41211,0.41192,0.41173,0.41154,0.41135,0.41116,0.41097,0.41077,0.41058,0.41039,0.4102,0.41001,0.40982,0.40963,0.40944,0.40925,0.40906,0.40887,0.40868,0.40849,0.4083,0.40811,0.40792,0.40773,0.40755,0.40736,0.40717,0.40698,0.40679,0.4066,0.40641,0.40622,0.40603,0.40584,0.40566,0.40547,0.40528,0.40509,0.4049,0.40471,0.40452,0.40434,0.40415,0.40396,0.40377,0.40358,0.4034,0.40321,0.40302,0.40283,0.40265,0.40246,0.40227,0.40208,0.4019,0.40171,0.40152,0.40133,0.40115,0.40096,0.40077,0.40059,0.4004,0.40021,0.40003,0.39984,0.39965,0.39947,0.39928,0.3991,0.39891,0.39872,0.39854,0.39835,0.39817,0.39798,0.39779,0.39761,0.39742,0.39724,0.39705,0.39687,0.39668,0.3965,0.39631,0.39613,0.39594,0.39576,0.39557,0.39539,0.3952,0.39502,0.39483,
0.39465,0.39446,0.39428,0.39409,0.39391,0.39373,0.39354,0.39336,0.39317,0.39299,0.39281,0.39262,0.39244,0.39225,0.39207,0.39189,0.3917,0.39152,0.39134,0.39115,0.39097,0.39079,0.3906,0.39042,0.39024,0.39006,0.38987,0.38969,0.38951,0.38933,0.38914,0.38896,0.38878,0.3886,0.38841,0.38823,0.38805,0.38787,0.38769,0.3875,0.38732,0.38714,0.38696,0.38678,0.3866,0.38641,0.38623,0.38605,0.38587,0.38569,0.38551,0.38533,0.38515,0.38497,0.38479,0.3846,0.38442,0.38424,0.38406,0.38388,0.3837,0.38352,0.38334,0.38316,0.38298,0.3828,0.38262,0.38244,0.38226,0.38208,0.3819,0.38172,0.38154,0.38136,0.38118,0.381,0.38083,0.38065,0.38047,0.38029,0.38011,0.37993,0.37975,0.37957,0.37939,0.37922,0.37904,0.37886,0.37868,0.3785,0.37832,0.37815,0.37797,0.37779,0.37761,0.37743,0.37726,0.37708,0.3769,0.37672,
0.37654,0.37637,0.37619,0.37601,0.37583,0.37566,0.37548,0.3753,0.37513,0.37495,0.37477,0.3746,0.37442,0.37424,0.37407,0.37389,0.37371,0.37354,0.37336,0.37318,0.37301,0.37283,0.37266,0.37248,0.3723,0.37213,0.37195,0.37178,0.3716,0.37142,0.37125,0.37107,0.3709,0.37072,0.37055,0.37037,0.3702,0.37002,0.36985,0.36967,0.3695,0.36932,0.36915,0.36897,0.3688,0.36862,0.36845,0.36828,0.3681,0.36793,0.36775,0.36758,0.36741,0.36723,0.36706,0.36688,0.36671,0.36654,0.36636,0.36619,0.36602,0.36584,0.36567,0.3655,0.36532,0.36515,0.36498,0.3648,0.36463,0.36446,0.36428,0.36411,0.36394,0.36377,0.36359,0.36342,0.36325,0.36308,0.36291,0.36273,0.36256,0.36239,0.36222,0.36205,0.36187,0.3617,0.36153,0.36136,0.36119,0.36102,0.36084,0.36067,0.3605,0.36033,0.36016,0.35999,0.35982,0.35965,0.35948,0.3593,
0.35913,0.35896,0.35879,0.35862,0.35845,0.35828,0.35811,0.35794,0.35777,0.3576,0.35743,0.35726,0.35709,0.35692,0.35675,0.35658,0.35641,0.35624,0.35607,0.3559,0.35573,0.35556,0.35539,0.35523,0.35506,0.35489,0.35472,0.35455,0.35438,0.35421,0.35404,0.35387,0.35371,0.35354,0.35337,0.3532,0.35303,0.35286,0.3527,0.35253,0.35236,0.35219,0.35202,0.35186,0.35169,0.35152,0.35135,0.35119,0.35102,0.35085,0.35068,0.35052,0.35035,0.35018,0.35002,0.34985,0.34968,0.34951,0.34935,0.34918,0.34901,0.34885,0.34868,0.34851,0.34835,0.34818,0.34802,0.34785,0.34768,0.34752,0.34735,0.34719,0.34702,0.34685,0.34669,0.34652,0.34636,0.34619,0.34603,0.34586,0.3457,0.34553,0.34536,0.3452,0.34503,0.34487,0.3447,0.34454,0.34437,0.34421,0.34405,0.34388,0.34372,0.34355,0.34339,0.34322,0.34306,0.34289,0.34273,0.34257,
0.3424,0.34224,0.34207,0.34191,0.34175,0.34158,0.34142,0.34126,0.34109,0.34093,0.34077,0.3406,0.34044,0.34028,0.34011,0.33995,0.33979,0.33963,0.33946,0.3393,0.33914,0.33897,0.33881,0.33865,0.33849,0.33832,0.33816,0.338,0.33784,0.33768,0.33751,0.33735,0.33719,0.33703,0.33687,0.33671,0.33654,0.33638,0.33622,0.33606,0.3359,0.33574,0.33558,0.33541,0.33525,0.33509,0.33493,0.33477,0.33461,0.33445,0.33429,0.33413,0.33397,0.33381,0.33365,0.33349,0.33333,0.33317,0.33301,0.33285,0.33269,0.33253,0.33237,0.33221,0.33205,0.33189,0.33173,0.33157,0.33141,0.33125,0.33109,0.33093,0.33077,0.33061,0.33045,0.33029,0.33013,0.32998,0.32982,0.32966,0.3295,0.32934,0.32918,0.32902,0.32886,0.32871,0.32855,0.32839,0.32823,0.32807,0.32792,0.32776,0.3276,0.32744,0.32728,0.32713,0.32697,0.32681,0.32665,0.3265,
0.32634,0.32618,0.32602,0.32587,0.32571,0.32555,0.3254,0.32524,0.32508,0.32493,0.32477,0.32461,0.32446,0.3243,0.32414,0.32399,0.32383,0.32367,0.32352,0.32336,0.3232,0.32305,0.32289,0.32274,0.32258,0.32243,0.32227,0.32211,0.32196,0.3218,0.32165,0.32149,0.32134,0.32118,0.32103,0.32087,0.32072,0.32056,0.32041,0.32025,0.3201,0.31994,0.31979,0.31963,0.31948,0.31932,0.31917,0.31902,0.31886,0.31871,0.31855,0.3184,0.31824,0.31809,0.31794,0.31778,0.31763,0.31748,0.31732,0.31717,0.31701,0.31686,0.31671,0.31655,0.3164,0.31625,0.31609,0.31594,0.31579,0.31564,0.31548,0.31533,0.31518,0.31502,0.31487,0.31472,0.31457,0.31441,0.31426,0.31411,0.31396,0.31381,0.31365,0.3135,0.31335,0.3132,0.31305,0.31289,0.31274,0.31259,0.31244,0.31229,0.31214,0.31199,0.31183,0.31168,0.31153,0.31138,0.31123,0.31108,
0.31093,0.31078,0.31063,0.31047,0.31032,0.31017,0.31002,0.30987,0.30972,0.30957,0.30942,0.30927,0.30912,0.30897,0.30882,0.30867,0.30852,0.30837,0.30822,0.30807,0.30792,0.30777,0.30762,0.30747,0.30732,0.30717,0.30702,0.30688,0.30673,0.30658,0.30643,0.30628,0.30613,0.30598,0.30583,0.30568,0.30554,0.30539,0.30524,0.30509,0.30494,0.30479,0.30464,0.3045,0.30435,0.3042,0.30405,0.3039,0.30376,0.30361,0.30346,0.30331,0.30317,0.30302,0.30287,0.30272,0.30258,0.30243,0.30228,0.30213,0.30199,0.30184,0.30169,0.30155,0.3014,0.30125,0.30111,0.30096,0.30081,0.30067,0.30052,0.30037,0.30023,0.30008,0.29993,0.29979,0.29964,0.29949,0.29935,0.2992,0.29906,0.29891,0.29877,0.29862,0.29847,0.29833,0.29818,0.29804,0.29789,0.29775,0.2976,0.29746,0.29731,0.29717,0.29702,0.29688,0.29673,0.29659,0.29644,0.2963,
0.29615,0.29601,0.29586,0.29572,0.29557,0.29543,0.29529,0.29514,0.295,0.29485,0.29471,0.29456,0.29442,0.29428,0.29413,0.29399,0.29385,0.2937,0.29356,0.29341,0.29327,0.29313,0.29298,0.29284,0.2927,0.29256,0.29241,0.29227,0.29213,0.29198,0.29184,0.2917,0.29156,0.29141,0.29127,0.29113,0.29099,0.29084,0.2907,0.29056,0.29042,0.29027,0.29013,0.28999,0.28985,0.28971,0.28956,0.28942,0.28928,0.28914,0.289,0.28886,0.28871,0.28857,0.28843,0.28829,0.28815,0.28801,0.28787,0.28773,0.28758,0.28744,0.2873,0.28716,0.28702,0.28688,0.28674,0.2866,0.28646,0.28632,0.28618,0.28604,0.2859,0.28576,0.28562,0.28548,0.28534,0.2852,0.28506,0.28492,0.28478,0.28464,0.2845,0.28436,0.28422,0.28408,0.28394,0.2838,0.28366,0.28352,0.28338,0.28324,0.28311,0.28297,0.28283,0.28269,0.28255,0.28241,0.28227,0.28213,
0.282,0.28186,0.28172,0.28158,0.28144,0.2813,0.28117,0.28103,0.28089,0.28075,0.28061,0.28048,0.28034,0.2802,0.28006,0.27992,0.27979,0.27965,0.27951,0.27937,0.27924,0.2791,0.27896,0.27883,0.27869,0.27855,0.27841,0.27828,0.27814,0.278,0.27787,0.27773,0.27759,0.27746,0.27732,0.27718,0.27705,0.27691,0.27678,0.27664,0.2765,0.27637,0.27623,0.27609,0.27596,0.27582,0.27569,0.27555,0.27542,0.27528,0.27514,0.27501,0.27487,0.27474,0.2746,0.27447,0.27433,0.2742,0.27406,0.27393,0.27379,0.27366,0.27352,0.27339,0.27325,0.27312,0.27298,0.27285,0.27271,0.27258,0.27245,0.27231,0.27218,0.27204,0.27191,0.27177,0.27164,0.27151,0.27137,0.27124,0.2711,0.27097,0.27084,0.2707,0.27057,0.27044,0.2703,0.27017,0.27004,0.2699,0.26977,0.26964,0.2695,0.26937,0.26924,0.26911,0.26897,0.26884,0.26871,0.26857};

constexpr double scale_of_stored_gammas_n5 = 1545.88;
constexpr double scale_of_stored_incomplete_gammas_n5 = 531.27;

constexpr double stored_complete_gamma_values_n5[] = {1.0,1.0,0.99999,0.99998,0.99997,0.99996,0.99994,0.99991,0.99989,0.99986,0.99983,0.99979,0.99975,0.99971,0.99966,0.99961,0.99956,0.9995,0.99944,0.99938,0.99931,0.99924,0.99917,0.99909,0.99901,0.99893,0.99884,0.99875,0.99866,0.99856,0.99846,0.99836,0.99826,0.99815,0.99804,0.99792,0.99781,0.99768,0.99756,0.99743,0.9973,0.99717,0.99704,0.9969,0.99675,0.99661,0.99646,0.99631,0.99616,0.996,0.99584,0.99568,0.99551,0.99534,0.99517,0.995,0.99482,0.99464,0.99446,0.99427,0.99408,0.99389,0.9937,0.9935,0.9933,0.9931,0.99289,0.99269,0.99248,0.99226,0.99205,0.99183,0.99161,0.99138,0.99115,0.99093,0.99069,0.99046,0.99022,0.98998,0.98974,0.98949,0.98925,0.989,0.98874,0.98849,0.98823,0.98797,0.98771,0.98744,0.98717,0.9869,0.98663,0.98635,0.98608,0.9858,0.98551,0.98523,0.98494,0.98465,
0.98436,0.98406,0.98377,0.98347,0.98317,0.98286,0.98256,0.98225,0.98194,0.98162,0.98131,0.98099,0.98067,0.98035,0.98002,0.97969,0.97936,0.97903,0.9787,0.97836,0.97803,0.97769,0.97734,0.977,0.97665,0.9763,0.97595,0.9756,0.97524,0.97489,0.97453,0.97416,0.9738,0.97343,0.97307,0.9727,0.97232,0.97195,0.97157,0.9712,0.97082,0.97043,0.97005,0.96966,0.96928,0.96889,0.96849,0.9681,0.9677,0.96731,0.96691,0.9665,0.9661,0.9657,0.96529,0.96488,0.96447,0.96405,0.96364,0.96322,0.9628,0.96238,0.96196,0.96154,0.96111,0.96068,0.96026,0.95982,0.95939,0.95896,0.95852,0.95808,0.95764,0.9572,0.95676,0.95631,0.95586,0.95542,0.95497,0.95451,0.95406,0.9536,0.95315,0.95269,0.95223,0.95177,0.9513,0.95084,0.95037,0.9499,0.94943,0.94896,0.94849,0.94801,0.94754,0.94706,0.94658,0.9461,0.94562,0.94513,
0.94465,0.94416,0.94367,0.94318,0.94269,0.9422,0.9417,0.94121,0.94071,0.94021,0.93971,0.93921,0.9387,0.9382,0.93769,0.93719,0.93668,0.93617,0.93566,0.93514,0.93463,0.93411,0.9336,0.93308,0.93256,0.93204,0.93151,0.93099,0.93046,0.92994,0.92941,0.92888,0.92835,0.92782,0.92728,0.92675,0.92621,0.92568,0.92514,0.9246,0.92406,0.92352,0.92297,0.92243,0.92188,0.92134,0.92079,0.92024,0.91969,0.91914,0.91859,0.91803,0.91748,0.91692,0.91636,0.91581,0.91525,0.91469,0.91412,0.91356,0.913,0.91243,0.91186,0.9113,0.91073,0.91016,0.90959,0.90902,0.90844,0.90787,0.9073,0.90672,0.90614,0.90556,0.90498,0.9044,0.90382,0.90324,0.90266,0.90207,0.90149,0.9009,0.90032,0.89973,0.89914,0.89855,0.89796,0.89737,0.89677,0.89618,0.89558,0.89499,0.89439,0.89379,0.8932,0.8926,0.892,0.89139,0.89079,0.89019,
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0.01998,0.01995,0.01992,0.01988,0.01985,0.01982,0.01979,0.01976,0.01973,0.01969,0.01966,0.01963,0.0196,0.01957,0.01954,0.0195,0.01947,0.01944,0.01941,0.01938,0.01935,0.01932,0.01929,0.01926,0.01922,0.01919,0.01916,0.01913,0.0191,0.01907,0.01904,0.01901,0.01898,0.01895,0.01892,0.01889,0.01886,0.01883,0.0188,0.01877,0.01874,0.01871,0.01868,0.01865,0.01862,0.01859,0.01856,0.01853,0.0185,0.01847,0.01844,0.01841,0.01838,0.01835,0.01832,0.01829,0.01826,0.01823,0.0182,0.01817,0.01814,0.01811,0.01808,0.01805,0.01803,0.018,0.01797,0.01794,0.01791,0.01788,0.01785,0.01782,0.01779,0.01777,0.01774,0.01771,0.01768,0.01765,0.01762,0.01759,0.01757,0.01754,0.01751,0.01748,0.01745,0.01743,0.0174,0.01737,0.01734,0.01731,0.01729,0.01726,0.01723,0.0172,0.01717,0.01715,0.01712,0.01709,0.01706,0.01704,
0.01701,0.01698,0.01695,0.01693,0.0169,0.01687,0.01684,0.01682,0.01679,0.01676,0.01674,0.01671,0.01668,0.01666,0.01663,0.0166,0.01657,0.01655,0.01652,0.01649,0.01647,0.01644,0.01641,0.01639,0.01636,0.01634,0.01631,0.01628,0.01626,0.01623,0.0162,0.01618,0.01615,0.01613,0.0161,0.01607,0.01605,0.01602,0.016,0.01597,0.01594,0.01592,0.01589,0.01587,0.01584,0.01582,0.01579,0.01576,0.01574,0.01571,0.01569,0.01566,0.01564,0.01561,0.01559,0.01556,0.01554,0.01551,0.01549,0.01546,0.01544,0.01541,0.01539,0.01536,0.01534,0.01531,0.01529,0.01526,0.01524,0.01521,0.01519,0.01516,0.01514,0.01511,0.01509,0.01507,0.01504,0.01502,0.01499,0.01497,0.01494,0.01492,0.0149,0.01487,0.01485,0.01482,0.0148,0.01478,0.01475,0.01473,0.0147,0.01468,0.01466,0.01463,0.01461,0.01459,0.01456,0.01454,0.01451,0.01449,
0.01447,0.01444,0.01442,0.0144,0.01437,0.01435,0.01433,0.0143,0.01428,0.01426,0.01424,0.01421,0.01419,0.01417,0.01414,0.01412,0.0141,0.01407,0.01405,0.01403,0.01401,0.01398,0.01396,0.01394,0.01392,0.01389,0.01387,0.01385,0.01383,0.0138,0.01378,0.01376,0.01374,0.01371,0.01369,0.01367,0.01365,0.01362,0.0136,0.01358,0.01356,0.01354,0.01351,0.01349,0.01347,0.01345,0.01343,0.01341,0.01338,0.01336,0.01334,0.01332,0.0133,0.01328,0.01325,0.01323,0.01321,0.01319,0.01317,0.01315,0.01313,0.0131,0.01308,0.01306,0.01304,0.01302,0.013,0.01298,0.01296,0.01293,0.01291,0.01289,0.01287,0.01285,0.01283,0.01281,0.01279,0.01277,0.01275,0.01273,0.01271,0.01268,0.01266,0.01264,0.01262,0.0126,0.01258,0.01256,0.01254,0.01252,0.0125,0.01248,0.01246,0.01244,0.01242,0.0124,0.01238,0.01236,0.01234,0.01232,
0.0123,0.01228,0.01226,0.01224,0.01222,0.0122,0.01218,0.01216,0.01214,0.01212,0.0121,0.01208,0.01206,0.01204,0.01202,0.012,0.01198,0.01196,0.01194,0.01192,0.0119,0.01189,0.01187,0.01185,0.01183,0.01181,0.01179,0.01177,0.01175,0.01173,0.01171,0.01169,0.01167,0.01165,0.01164,0.01162,0.0116,0.01158,0.01156,0.01154,0.01152,0.0115,0.01149,0.01147,0.01145,0.01143,0.01141,0.01139,0.01137,0.01135,0.01134,0.01132,0.0113,0.01128,0.01126,0.01124,0.01123,0.01121,0.01119,0.01117,0.01115,0.01113,0.01112,0.0111,0.01108,0.01106,0.01104,0.01103,0.01101,0.01099,0.01097,0.01095,0.01094,0.01092,0.0109,0.01088,0.01087,0.01085,0.01083,0.01081,0.01079,0.01078,0.01076,0.01074,0.01072,0.01071,0.01069,0.01067,0.01065,0.01064,0.01062,0.0106,0.01059,0.01057,0.01055,0.01053,0.01052,0.0105,0.01048,0.01046,
0.01045,0.01043,0.01041,0.0104,0.01038,0.01036,0.01035,0.01033,0.01031,0.0103,0.01028,0.01026,0.01024,0.01023,0.01021,0.01019,0.01018,0.01016,0.01014,0.01013,0.01011,0.01009,0.01008,0.01006,0.01005,0.01003,0.01001,0.01,0.00998,0.00996,0.00995,0.00993,0.00991,0.0099,0.00988,0.00987,0.00985,0.00983,0.00982,0.0098,0.00979,0.00977,0.00975,0.00974,0.00972,0.00971,0.00969,0.00967,0.00966,0.00964,0.00963,0.00961,0.0096,0.00958,0.00956,0.00955,0.00953,0.00952,0.0095,0.00949,0.00947,0.00946,0.00944,0.00942,0.00941,0.00939,0.00938,0.00936,0.00935,0.00933,0.00932,0.0093,0.00929,0.00927,0.00926,0.00924,0.00923,0.00921,0.0092,0.00918,0.00917,0.00915,0.00914,0.00912,0.00911,0.00909,0.00908,0.00906,0.00905,0.00903,0.00902,0.009,0.00899,0.00897,0.00896,0.00894,0.00893,0.00891,0.0089,0.00888,
0.00887,0.00886,0.00884,0.00883,0.00881,0.0088,0.00878,0.00877,0.00875,0.00874,0.00873,0.00871,0.0087,0.00868,0.00867,0.00865,0.00864,0.00863,0.00861,0.0086,0.00858,0.00857,0.00856,0.00854,0.00853,0.00851,0.0085,0.00849,0.00847,0.00846,0.00844,0.00843,0.00842,0.0084,0.00839,0.00837,0.00836,0.00835,0.00833,0.00832,0.00831,0.00829,0.00828,0.00827,0.00825,0.00824,0.00822,0.00821,0.0082,0.00818,0.00817,0.00816,0.00814,0.00813,0.00812,0.0081,0.00809,0.00808,0.00806,0.00805,0.00804,0.00802,0.00801,0.008,0.00798,0.00797,0.00796,0.00795,0.00793,0.00792,0.00791,0.00789,0.00788,0.00787,0.00785,0.00784,0.00783,0.00782,0.0078,0.00779,0.00778,0.00776,0.00775,0.00774,0.00773,0.00771,0.0077,0.00769,0.00768,0.00766,0.00765,0.00764,0.00763,0.00761,0.0076,0.00759,0.00758,0.00756,0.00755,0.00754,
0.00753,0.00751,0.0075,0.00749,0.00748,0.00746,0.00745,0.00744,0.00743,0.00742,0.0074,0.00739,0.00738,0.00737,0.00735,0.00734,0.00733,0.00732,0.00731,0.00729,0.00728,0.00727,0.00726,0.00725,0.00723,0.00722,0.00721,0.0072,0.00719,0.00717,0.00716,0.00715,0.00714,0.00713,0.00712,0.0071,0.00709,0.00708,0.00707,0.00706,0.00705,0.00703,0.00702,0.00701,0.007,0.00699,0.00698,0.00697,0.00695,0.00694,0.00693,0.00692,0.00691,0.0069,0.00689,0.00687,0.00686,0.00685,0.00684,0.00683,0.00682,0.00681,0.00679,0.00678,0.00677,0.00676,0.00675,0.00674,0.00673,0.00672,0.00671,0.00669,0.00668,0.00667,0.00666,0.00665,0.00664,0.00663,0.00662,0.00661,0.0066,0.00659,0.00657,0.00656,0.00655,0.00654,0.00653,0.00652,0.00651,0.0065,0.00649,0.00648,0.00647,0.00646,0.00645,0.00643,0.00642,0.00641,0.0064,0.00639,
0.00638,0.00637,0.00636,0.00635,0.00634,0.00633,0.00632,0.00631,0.0063,0.00629,0.00628,0.00627,0.00626,0.00625,0.00624,0.00623,0.00622,0.00621,0.00619,0.00618,0.00617,0.00616,0.00615,0.00614,0.00613,0.00612,0.00611,0.0061,0.00609,0.00608,0.00607,0.00606,0.00605,0.00604,0.00603,0.00602,0.00601,0.006,0.00599,0.00598,0.00597,0.00596,0.00595,0.00594,0.00593,0.00592,0.00591,0.0059,0.0059,0.00589,0.00588,0.00587,0.00586,0.00585,0.00584,0.00583,0.00582,0.00581,0.0058,0.00579,0.00578,0.00577,0.00576,0.00575,0.00574,0.00573,0.00572,0.00571,0.0057,0.00569,0.00568,0.00568,0.00567,0.00566,0.00565,0.00564,0.00563,0.00562,0.00561,0.0056,0.00559,0.00558,0.00557,0.00556,0.00555,0.00555,0.00554,0.00553,0.00552,0.00551,0.0055,0.00549,0.00548,0.00547,0.00546,0.00545,0.00544,0.00544,0.00543,0.00542,
0.00541,0.0054,0.00539,0.00538,0.00537,0.00536,0.00536,0.00535,0.00534,0.00533,0.00532,0.00531,0.0053,0.00529,0.00528,0.00528,0.00527,0.00526,0.00525,0.00524,0.00523,0.00522,0.00522,0.00521,0.0052,0.00519,0.00518,0.00517,0.00516,0.00516,0.00515,0.00514,0.00513,0.00512,0.00511,0.0051,0.0051,0.00509,0.00508,0.00507,0.00506,0.00505,0.00505,0.00504,0.00503,0.00502,0.00501,0.005,0.005,0.00499,0.00498,0.00497,0.00496,0.00495,0.00495,0.00494,0.00493,0.00492,0.00491,0.0049,0.0049,0.00489,0.00488,0.00487,0.00486,0.00486,0.00485,0.00484,0.00483,0.00482,0.00482,0.00481,0.0048,0.00479,0.00478,0.00478,0.00477,0.00476,0.00475,0.00474,0.00474,0.00473,0.00472,0.00471,0.00471,0.0047,0.00469,0.00468,0.00467,0.00467,0.00466,0.00465,0.00464,0.00464,0.00463,0.00462,0.00461,0.0046,0.0046,0.00459};

constexpr double stored_lower_incomplete_gamma_values_n5[] = {0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1e-05,1e-05,1e-05,1e-05,1e-05,1e-05,2e-05,2e-05,2e-05,3e-05,3e-05,3e-05,4e-05,4e-05,5e-05,5e-05,6e-05,6e-05,7e-05,8e-05,8e-05,9e-05,0.0001,0.00011,0.00012,0.00012,0.00013,0.00014,0.00016,0.00017,0.00018,0.00019,0.0002,0.00022,0.00023,0.00024,0.00026,0.00027,0.00029,0.00031,0.00032,0.00034,0.00036,0.00038,0.0004,0.00042,0.00044,0.00046,0.00049,0.00051,0.00053,0.00056,0.00058,0.00061,0.00064,0.00066,0.00069,0.00072,0.00075,0.00078,0.00081,0.00084,0.00088,0.00091,0.00095,0.00098,0.00102,0.00105,0.00109,0.00113,0.00117,0.00121,0.00125,0.0013,0.00134,0.00138,0.00143,0.00147,0.00152,0.00157,0.00162,0.00167,0.00172,0.00177,0.00182,0.00188,
0.00193,0.00199,0.00204,0.0021,0.00216,0.00222,0.00228,0.00234,0.00241,0.00247,0.00254,0.0026,0.00267,0.00274,0.00281,0.00288,0.00295,0.00302,0.00309,0.00317,0.00325,0.00332,0.0034,0.00348,0.00356,0.00364,0.00373,0.00381,0.0039,0.00398,0.00407,0.00416,0.00425,0.00434,0.00443,0.00453,0.00462,0.00472,0.00481,0.00491,0.00501,0.00511,0.00522,0.00532,0.00542,0.00553,0.00564,0.00575,0.00586,0.00597,0.00608,0.00619,0.00631,0.00643,0.00654,0.00666,0.00678,0.0069,0.00703,0.00715,0.00728,0.0074,0.00753,0.00766,0.00779,0.00793,0.00806,0.00819,0.00833,0.00847,0.00861,0.00875,0.00889,0.00903,0.00918,0.00932,0.00947,0.00962,0.00977,0.00992,0.01008,0.01023,0.01039,0.01055,0.0107,0.01086,0.01103,0.01119,0.01135,0.01152,0.01169,0.01186,0.01203,0.0122,0.01237,0.01255,0.01272,0.0129,0.01308,0.01326,
0.01345,0.01363,0.01381,0.014,0.01419,0.01438,0.01457,0.01476,0.01496,0.01515,0.01535,0.01555,0.01575,0.01595,0.01616,0.01636,0.01657,0.01677,0.01698,0.0172,0.01741,0.01762,0.01784,0.01805,0.01827,0.01849,0.01872,0.01894,0.01916,0.01939,0.01962,0.01985,0.02008,0.02031,0.02055,0.02078,0.02102,0.02126,0.0215,0.02174,0.02198,0.02223,0.02248,0.02273,0.02298,0.02323,0.02348,0.02373,0.02399,0.02425,0.02451,0.02477,0.02503,0.0253,0.02556,0.02583,0.0261,0.02637,0.02664,0.02692,0.02719,0.02747,0.02775,0.02803,0.02831,0.02859,0.02888,0.02917,0.02945,0.02974,0.03004,0.03033,0.03062,0.03092,0.03122,0.03152,0.03182,0.03212,0.03243,0.03273,0.03304,0.03335,0.03366,0.03397,0.03429,0.03461,0.03492,0.03524,0.03556,0.03589,0.03621,0.03654,0.03686,0.03719,0.03752,0.03785,0.03819,0.03852,0.03886,0.0392,
0.03954,0.03988,0.04023,0.04057,0.04092,0.04127,0.04162,0.04197,0.04232,0.04268,0.04303,0.04339,0.04375,0.04411,0.04448,0.04484,0.04521,0.04558,0.04595,0.04632,0.04669,0.04707,0.04744,0.04782,0.0482,0.04858,0.04896,0.04935,0.04973,0.05012,0.05051,0.0509,0.0513,0.05169,0.05209,0.05248,0.05288,0.05328,0.05369,0.05409,0.0545,0.0549,0.05531,0.05572,0.05613,0.05655,0.05696,0.05738,0.0578,0.05822,0.05864,0.05907,0.05949,0.05992,0.06035,0.06078,0.06121,0.06164,0.06208,0.06251,0.06295,0.06339,0.06383,0.06427,0.06472,0.06516,0.06561,0.06606,0.06651,0.06697,0.06742,0.06788,0.06833,0.06879,0.06925,0.06971,0.07018,0.07064,0.07111,0.07158,0.07205,0.07252,0.07299,0.07347,0.07395,0.07442,0.0749,0.07539,0.07587,0.07635,0.07684,0.07733,0.07782,0.07831,0.0788,0.07929,0.07979,0.08028,0.08078,0.08128,
0.08179,0.08229,0.08279,0.0833,0.08381,0.08432,0.08483,0.08534,0.08586,0.08637,0.08689,0.08741,0.08793,0.08845,0.08897,0.0895,0.09003,0.09055,0.09108,0.09162,0.09215,0.09268,0.09322,0.09376,0.09429,0.09484,0.09538,0.09592,0.09647,0.09701,0.09756,0.09811,0.09866,0.09921,0.09977,0.10032,0.10088,0.10144,0.102,0.10256,0.10312,0.10369,0.10426,0.10482,0.10539,0.10596,0.10654,0.10711,0.10768,0.10826,0.10884,0.10942,0.11,0.11058,0.11117,0.11175,0.11234,0.11293,0.11352,0.11411,0.1147,0.1153,0.11589,0.11649,0.11709,0.11769,0.11829,0.11889,0.1195,0.1201,0.12071,0.12132,0.12193,0.12254,0.12316,0.12377,0.12439,0.125,0.12562,0.12624,0.12687,0.12749,0.12811,0.12874,0.12937,0.13,0.13063,0.13126,0.13189,0.13253,0.13316,0.1338,0.13444,0.13508,0.13572,0.13636,0.13701,0.13765,0.1383,0.13895,
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1.86051,1.86069,1.86088,1.86107,1.86125,1.86144,1.86163,1.86181,1.862,1.86218,1.86237,1.86255,1.86274,1.86292,1.86311,1.86329,1.86347,1.86366,1.86384,1.86402,1.86421,1.86439,1.86457,1.86475,1.86494,1.86512,1.8653,1.86548,1.86566,1.86584,1.86602,1.8662,1.86638,1.86656,1.86674,1.86692,1.8671,1.86728,1.86746,1.86764,1.86782,1.868,1.86817,1.86835,1.86853,1.86871,1.86888,1.86906,1.86924,1.86941,1.86959,1.86976,1.86994,1.87012,1.87029,1.87047,1.87064,1.87082,1.87099,1.87116,1.87134,1.87151,1.87169,1.87186,1.87203,1.87221,1.87238,1.87255,1.87272,1.87289,1.87307,1.87324,1.87341,1.87358,1.87375,1.87392,1.87409,1.87426,1.87443,1.8746,1.87477,1.87494,1.87511,1.87528,1.87545,1.87562,1.87579,1.87595,1.87612,1.87629,1.87646,1.87663,1.87679,1.87696,1.87713,1.87729,1.87746,1.87763,1.87779,1.87796,
1.87812,1.87829,1.87845,1.87862,1.87878,1.87895,1.87911,1.87928,1.87944,1.8796,1.87977,1.87993,1.88009,1.88025,1.88042,1.88058,1.88074,1.8809,1.88107,1.88123,1.88139,1.88155,1.88171,1.88187,1.88203,1.88219,1.88235,1.88251,1.88267,1.88283,1.88299,1.88315,1.88331,1.88347,1.88363,1.88378,1.88394,1.8841,1.88426,1.88442,1.88457,1.88473,1.88489,1.88504,1.8852,1.88536,1.88551,1.88567,1.88583,1.88598,1.88614,1.88629,1.88645,1.8866,1.88676,1.88691,1.88706,1.88722,1.88737,1.88753,1.88768,1.88783,1.88799,1.88814,1.88829,1.88844,1.8886,1.88875,1.8889,1.88905,1.8892,1.88935,1.8895,1.88966,1.88981,1.88996,1.89011,1.89026,1.89041,1.89056,1.89071,1.89086,1.89101,1.89115,1.8913,1.89145,1.8916,1.89175,1.8919,1.89204,1.89219,1.89234,1.89249,1.89263,1.89278,1.89293,1.89307,1.89322,1.89337,1.89351,
1.89366,1.8938,1.89395,1.89409,1.89424,1.89438,1.89453,1.89467,1.89482,1.89496,1.89511,1.89525,1.89539,1.89554,1.89568,1.89582,1.89597,1.89611,1.89625,1.89639,1.89654,1.89668,1.89682,1.89696,1.8971,1.89724,1.89738,1.89752,1.89767,1.89781,1.89795,1.89809,1.89823,1.89837,1.89851,1.89865,1.89878,1.89892,1.89906,1.8992,1.89934,1.89948,1.89962,1.89975,1.89989,1.90003,1.90017,1.9003,1.90044,1.90058,1.90071,1.90085,1.90099,1.90112,1.90126,1.9014,1.90153,1.90167,1.9018,1.90194,1.90207,1.90221,1.90234,1.90248,1.90261,1.90275,1.90288,1.90301,1.90315,1.90328,1.90341,1.90355,1.90368,1.90381,1.90394,1.90408,1.90421,1.90434,1.90447,1.9046,1.90474,1.90487,1.905,1.90513,1.90526,1.90539,1.90552,1.90565,1.90578,1.90591,1.90604,1.90617,1.9063,1.90643,1.90656,1.90669,1.90682,1.90695,1.90708,1.9072,
1.90733,1.90746,1.90759,1.90772,1.90784,1.90797,1.9081,1.90823,1.90835,1.90848,1.90861,1.90873,1.90886,1.90898,1.90911,1.90924,1.90936,1.90949,1.90961,1.90974,1.90986,1.90999,1.91011,1.91024,1.91036,1.91048,1.91061,1.91073,1.91086,1.91098,1.9111,1.91123,1.91135,1.91147,1.91159,1.91172,1.91184,1.91196,1.91208,1.91221,1.91233,1.91245,1.91257,1.91269,1.91281,1.91293,1.91305,1.91317,1.9133,1.91342,1.91354,1.91366,1.91378,1.9139,1.91401,1.91413,1.91425,1.91437,1.91449,1.91461,1.91473,1.91485,1.91497,1.91508,1.9152,1.91532,1.91544,1.91555,1.91567,1.91579,1.91591,1.91602,1.91614,1.91626,1.91637,1.91649,1.91661,1.91672,1.91684,1.91695,1.91707,1.91718,1.9173,1.91741,1.91753,1.91764,1.91776,1.91787,1.91799,1.9181,1.91822,1.91833,1.91844,1.91856,1.91867,1.91878,1.9189,1.91901,1.91912,1.91923,
1.91935,1.91946,1.91957,1.91968,1.9198,1.91991,1.92002,1.92013,1.92024,1.92035,1.92046,1.92058,1.92069,1.9208,1.92091,1.92102,1.92113,1.92124,1.92135,1.92146,1.92157,1.92168,1.92179,1.9219,1.922,1.92211,1.92222,1.92233,1.92244,1.92255,1.92266,1.92276,1.92287,1.92298,1.92309,1.9232,1.9233,1.92341,1.92352,1.92362,1.92373,1.92384,1.92394,1.92405,1.92416,1.92426,1.92437,1.92447,1.92458,1.92469,1.92479,1.9249,1.925,1.92511,1.92521,1.92532,1.92542,1.92552,1.92563,1.92573,1.92584,1.92594,1.92604,1.92615,1.92625,1.92636,1.92646,1.92656,1.92666,1.92677,1.92687,1.92697,1.92707,1.92718,1.92728,1.92738,1.92748,1.92758,1.92769,1.92779,1.92789,1.92799,1.92809,1.92819,1.92829,1.92839,1.92849,1.92859,1.92869,1.92879,1.92889,1.92899,1.92909,1.92919,1.92929,1.92939,1.92949,1.92959,1.92969,1.92979,
1.92989,1.92999,1.93008,1.93018,1.93028,1.93038,1.93048,1.93057,1.93067,1.93077,1.93087,1.93096,1.93106,1.93116,1.93125,1.93135,1.93145,1.93154,1.93164,1.93174,1.93183,1.93193,1.93202,1.93212,1.93222,1.93231,1.93241,1.9325,1.9326,1.93269,1.93279,1.93288,1.93298,1.93307,1.93316,1.93326,1.93335,1.93345,1.93354,1.93363,1.93373,1.93382,1.93391,1.93401,1.9341,1.93419,1.93429,1.93438,1.93447,1.93456,1.93466,1.93475,1.93484,1.93493,1.93502,1.93512,1.93521,1.9353,1.93539,1.93548,1.93557,1.93566,1.93575,1.93584,1.93593,1.93603,1.93612,1.93621,1.9363,1.93639,1.93648,1.93657,1.93666,1.93674,1.93683,1.93692,1.93701,1.9371,1.93719,1.93728,1.93737,1.93746,1.93754,1.93763,1.93772,1.93781,1.9379,1.93799,1.93807,1.93816,1.93825,1.93834,1.93842,1.93851,1.9386,1.93868,1.93877,1.93886,1.93894,1.93903,
1.93912,1.9392,1.93929,1.93937,1.93946,1.93955,1.93963,1.93972,1.9398,1.93989,1.93997,1.94006,1.94014,1.94023,1.94031,1.9404,1.94048,1.94057,1.94065,1.94074,1.94082,1.9409,1.94099,1.94107,1.94115,1.94124,1.94132,1.9414,1.94149,1.94157,1.94165,1.94174,1.94182,1.9419,1.94198,1.94207,1.94215,1.94223,1.94231,1.94239,1.94248,1.94256,1.94264,1.94272,1.9428,1.94288,1.94296,1.94305,1.94313,1.94321,1.94329,1.94337,1.94345,1.94353,1.94361,1.94369,1.94377,1.94385,1.94393,1.94401,1.94409,1.94417,1.94425,1.94433,1.94441,1.94449,1.94456,1.94464,1.94472,1.9448,1.94488,1.94496,1.94504,1.94511,1.94519,1.94527,1.94535,1.94543,1.9455,1.94558,1.94566,1.94574,1.94581,1.94589,1.94597,1.94605,1.94612,1.9462,1.94628,1.94635,1.94643,1.94651,1.94658,1.94666,1.94673,1.94681,1.94689,1.94696,1.94704,1.94711,
1.94719,1.94726,1.94734,1.94741,1.94749,1.94756,1.94764,1.94771,1.94779,1.94786,1.94794,1.94801,1.94809,1.94816,1.94823,1.94831,1.94838,1.94845,1.94853,1.9486,1.94868,1.94875,1.94882,1.94889,1.94897,1.94904,1.94911,1.94919,1.94926,1.94933,1.9494,1.94948,1.94955,1.94962,1.94969,1.94976,1.94984,1.94991,1.94998,1.95005,1.95012,1.95019,1.95027,1.95034,1.95041,1.95048,1.95055,1.95062,1.95069,1.95076,1.95083,1.9509,1.95097,1.95104,1.95111,1.95118,1.95125,1.95132,1.95139,1.95146,1.95153,1.9516,1.95167,1.95174,1.95181,1.95188,1.95195,1.95202,1.95208,1.95215,1.95222,1.95229,1.95236,1.95243,1.95249,1.95256,1.95263,1.9527,1.95277,1.95283,1.9529,1.95297,1.95304,1.9531,1.95317,1.95324,1.95331,1.95337,1.95344,1.95351,1.95357,1.95364,1.95371,1.95377,1.95384,1.95391,1.95397,1.95404,1.9541,1.95417,
1.95424,1.9543,1.95437,1.95443,1.9545,1.95456,1.95463,1.95469,1.95476,1.95482,1.95489,1.95495,1.95502,1.95508,1.95515,1.95521,1.95528,1.95534,1.95541,1.95547,1.95553,1.9556,1.95566,1.95573,1.95579,1.95585,1.95592,1.95598,1.95604,1.95611,1.95617,1.95623,1.9563,1.95636,1.95642,1.95648,1.95655,1.95661,1.95667,1.95673,1.9568,1.95686,1.95692,1.95698,1.95704,1.95711,1.95717,1.95723,1.95729,1.95735,1.95741,1.95748,1.95754,1.9576,1.95766,1.95772,1.95778,1.95784,1.9579,1.95796,1.95802,1.95808,1.95815,1.95821,1.95827,1.95833,1.95839,1.95845,1.95851,1.95857,1.95863,1.95869,1.95875,1.9588,1.95886,1.95892,1.95898,1.95904,1.9591,1.95916,1.95922,1.95928,1.95934,1.9594,1.95945,1.95951,1.95957,1.95963,1.95969,1.95975,1.9598,1.95986,1.95992,1.95998,1.96004,1.96009,1.96015,1.96021,1.96027,1.96032};

constexpr double stored_gamma_values_n5[] = {1.0,1.0,1.0,1.0,1.0,0.99999,0.99999,0.99999,0.99999,0.99998,0.99998,0.99997,0.99997,0.99996,0.99996,0.99995,0.99995,0.99994,0.99993,0.99993,0.99992,0.99991,0.9999,0.99989,0.99988,0.99987,0.99986,0.99985,0.99984,0.99983,0.99981,0.9998,0.99979,0.99978,0.99976,0.99975,0.99973,0.99972,0.9997,0.99969,0.99967,0.99965,0.99964,0.99962,0.9996,0.99958,0.99957,0.99955,0.99953,0.99951,0.99949,0.99947,0.99945,0.99943,0.9994,0.99938,0.99936,0.99934,0.99931,0.99929,0.99927,0.99924,0.99922,0.99919,0.99917,0.99914,0.99911,0.99909,0.99906,0.99903,0.99901,0.99898,0.99895,0.99892,0.99889,0.99886,0.99883,0.9988,0.99877,0.99874,0.99871,0.99867,0.99864,0.99861,0.99858,0.99854,0.99851,0.99847,0.99844,0.9984,0.99837,0.99833,0.9983,0.99826,0.99822,0.99819,0.99815,0.99811,0.99807,0.99803,
0.998,0.99796,0.99792,0.99788,0.99784,0.9978,0.99775,0.99771,0.99767,0.99763,0.99759,0.99754,0.9975,0.99746,0.99741,0.99737,0.99732,0.99728,0.99723,0.99718,0.99714,0.99709,0.99704,0.997,0.99695,0.9969,0.99685,0.9968,0.99676,0.99671,0.99666,0.99661,0.99656,0.9965,0.99645,0.9964,0.99635,0.9963,0.99624,0.99619,0.99614,0.99608,0.99603,0.99598,0.99592,0.99587,0.99581,0.99576,0.9957,0.99564,0.99559,0.99553,0.99547,0.99541,0.99536,0.9953,0.99524,0.99518,0.99512,0.99506,0.995,0.99494,0.99488,0.99482,0.99476,0.99469,0.99463,0.99457,0.99451,0.99444,0.99438,0.99431,0.99425,0.99419,0.99412,0.99406,0.99399,0.99392,0.99386,0.99379,0.99372,0.99366,0.99359,0.99352,0.99345,0.99339,0.99332,0.99325,0.99318,0.99311,0.99304,0.99297,0.9929,0.99283,0.99275,0.99268,0.99261,0.99254,0.99247,0.99239,
0.99232,0.99225,0.99217,0.9921,0.99202,0.99195,0.99187,0.9918,0.99172,0.99164,0.99157,0.99149,0.99141,0.99134,0.99126,0.99118,0.9911,0.99102,0.99094,0.99086,0.99078,0.9907,0.99062,0.99054,0.99046,0.99038,0.9903,0.99022,0.99014,0.99005,0.98997,0.98989,0.9898,0.98972,0.98964,0.98955,0.98947,0.98938,0.9893,0.98921,0.98913,0.98904,0.98895,0.98887,0.98878,0.98869,0.9886,0.98852,0.98843,0.98834,0.98825,0.98816,0.98807,0.98798,0.98789,0.9878,0.98771,0.98762,0.98753,0.98744,0.98735,0.98725,0.98716,0.98707,0.98698,0.98688,0.98679,0.9867,0.9866,0.98651,0.98641,0.98632,0.98622,0.98613,0.98603,0.98593,0.98584,0.98574,0.98564,0.98555,0.98545,0.98535,0.98525,0.98515,0.98506,0.98496,0.98486,0.98476,0.98466,0.98456,0.98446,0.98436,0.98426,0.98415,0.98405,0.98395,0.98385,0.98375,0.98364,0.98354,
0.98344,0.98333,0.98323,0.98313,0.98302,0.98292,0.98281,0.98271,0.9826,0.9825,0.98239,0.98228,0.98218,0.98207,0.98196,0.98186,0.98175,0.98164,0.98153,0.98142,0.98131,0.98121,0.9811,0.98099,0.98088,0.98077,0.98066,0.98055,0.98043,0.98032,0.98021,0.9801,0.97999,0.97988,0.97976,0.97965,0.97954,0.97942,0.97931,0.9792,0.97908,0.97897,0.97885,0.97874,0.97862,0.97851,0.97839,0.97828,0.97816,0.97805,0.97793,0.97781,0.97769,0.97758,0.97746,0.97734,0.97722,0.9771,0.97699,0.97687,0.97675,0.97663,0.97651,0.97639,0.97627,0.97615,0.97603,0.97591,0.97579,0.97566,0.97554,0.97542,0.9753,0.97518,0.97505,0.97493,0.97481,0.97468,0.97456,0.97443,0.97431,0.97419,0.97406,0.97394,0.97381,0.97369,0.97356,0.97343,0.97331,0.97318,0.97305,0.97293,0.9728,0.97267,0.97255,0.97242,0.97229,0.97216,0.97203,0.9719,
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